• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Book chapter
  • Об одном классе взаимных расположений кубики и пары коник
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
September 11, 2026
How to Assess Students Knowledge in the Age of AI
A researcher at HSE University has proposed a flowchart to help lecturers decide how to assess students who use artificial intelligence. It shows where the use of AI should be restricted and where it can be incorporated into the learning process. The article has been published in IT Professional.
September 9, 2026
‘Balkan Hospitality Opens Doors: Studying Dialects on the Verge of Extinction
You cannot study spoken dialects from books. Instead, you need to go to a village, seek out its elders, and earn the trust of local residents before you can record hours of spontaneous stories. This is how Natalia Muravleva, Associate Professor at the Faculty of Humanities, conducts her research. Her internship in Serbia continued her long-standing study of dialects spoken by Macedonian settlers. In this interview, she discusses how diaspora cultural centres help researchers reach informants, why native speakers need to be interviewed only in their own language (otherwise, as she puts it, they may 'break'), and how a single field season helped her finalise her monograph. She also shares warm memories of autumn in Belgrade and of colleagues with whom grammar can be discussed in three languages at once.
September 9, 2026
Scientists Train Neural Network to Generate Process Plans from 3D Models
Researchers at the HSE FCS AI and Digital Science Institute have developed CAD2TechSpec, a framework that converts 3D models of mechanical parts into machining process plans—step-by-step instructions for machine tools. The solution aims to reduce the time required for the design and preparation of technical process documentation in mechanical engineering, aircraft manufacturing, and other high-tech industries. The study findings have been published in PeerJ Computer Science.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Об одном классе взаимных расположений кубики и пары коник

Гл. 11. С. 208–209.
Polotovskiy G.
Language: Russian
Text on another site
Keywords: алгебраическая геометрия

In book

Алгебра, теория чисел, дискретная геометрия и многомасштабное моделирование: Современные проблемы, приложения и проблемы истории: Материалы XXIII Международной конференции, посвященной 80-летию проф. А. И. Галочкина и 75-летию проф. В. Г. Чирского
Тула: Тульский государственный педагогический университет им. Л.Н. Толстого, 2024.
Similar publications
О заседаниях добрушинского семинара в 2024 г. (часть 1)
Blank M., Проблемы передачи информации 2024 Т. 60 № 2 С. 53–58
Добрушинский семинар посвящен основным направлениям, которые развиваются в Добрушинской математической лаборатории ИППИ РАН: стохастической и детерминированной динамики больших систем, теории информации и теории кодирования, алгебраической геометрии и теории чисел, комбинаторным и вероятностным аспектам теории представлений. Представлена общая информация о семинаре, а также подробная информация о заседаниях семинара, прошедших с начала 2024 г. ...
Added: January 16, 2025
On the automorphism group of a toral variety
Anton Shafarevich, Anton Trushin, Mathematical Communications 2023 Vol. 28 No. 2 P. 277–291
Let K be an algebraically closed field of characteristic zero. An affine algebraic variety X over K is toral if it is isomorphic to a closed subvariety of a torus K*. We study the group Aut(X) of regular automorpshims of a toral variety X. We prove that if T is a maximal torus in Aut(X), then X is ...
Added: October 19, 2023
Representation Theory and Algebraic Geometry
Switzerland: Birkhauser/Springer, 2022.
The conference “Interactions between Representation Theory and Algebraic Geometry” was held at the University of Chicago on August 21–25, 2017. It brought together about 150 participants from several major universities in the USA and abroad, more than half of whom were junior mathematicians. It featured 21 talks by eminent mathematicians from the USA, Europe, and Asia on topics ...
Added: June 20, 2022
Standard models of degree 1 del Pezzo fibrations
Loginov K., / Cornell University. Серия arXiv "math". 2017.
Построение стандартных моделей расслоений на поверхности дель Пеццо степени 1. ...
Added: October 10, 2017
VI конференция по алгебраической геометрии и комплексному анализу для молодых математиков России
М.: Математический институт им. В. А. Стеклова РАН, 2017.
Тезисы лекций и докладов на V школе-конференции по алгебраической геометрии и коплексному анализу для молодых математиков России (г. Коряжма Архангельской области, Филиал Северного (Арктического) федерального университета им. М. В. Ломоносова, 17–22 августа 2015 г.). ...
Added: September 21, 2017
Международная конференция по алгебраической геометрии, комплексному анализу и компьютерной алгебре
М.: Математический институт им. В. А. Стеклова РАН, 2016.
Тезисы международной конференции ...
Added: August 22, 2016
Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups
V.A. Vassiliev, Bulletin of the London Mathematical Society 2015 Vol. 47 No. 2 P. 290–300
We prove that there are no bounded domains with smooth boundaries in even-dimensional Euclidean spaces, such that the volumes cut off from them by affine hyperplanes depend algebraically on these hyperplanes. For convex ovals in R2, this is Lemma XXVIII from Newton's ‘Philosophiae naturalis principia mathematica’. ...
Added: January 19, 2016
Tropical Aspects in Geometry, Topology and Physics
Oberwolfach: [б.и.], 2015.
The workshop Tropical Aspects in Geometry, Topology and Physics was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject. The development of tropical geometry is based on deep links between problems in real and complex enumerative geometry, symplectic geometry, quantum fields theory, mirror ...
Added: December 2, 2015
Proceedings of the Simons Conference "Foliation theory in Algebraic Geometry"
Springer, 2015.
Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. ...
Added: November 24, 2015
Some Definability Results in Abstract Kummer Theory
Gavrilovich M., Bays M., Hils M., International Mathematics Research Notices 2014 Vol. 14 P. 3927–4000
Let S be a semiabelian variety over an algebraically closed field, and let X be an irreducible subvariety not contained in a translate of a proper algebraic subgroup of S. We show that the number of irreducible components of [n]^−1 (X) is bounded uniformly in n, and moreover that the bound is uniform in families ...
Added: October 23, 2015
Absolutely trianalytic tori in the generalized Kummer variety
Kurnosov N., / Series math "arxiv.org". 2015.
We prove that a generic complex deformation of a generalized Kummer variety contains no complex analytic tori. ...
Added: October 16, 2015
On the centre of the ring of differential operators on a smooth variety over Z/p^nZ
Vologodsky V., Stewart A., Compositio Mathematica 2013 Vol. 149 P. 63–80
We compute the center of the ring of PD differential operators on a smooth variety over $\bZ/p^n\bZ$ confirming a conjecture of Kaledin. More generally, given an associative algebra A0 over $\bF_p$ and its flat deformation An over $\bZ/p^{n+1}\bZ$ we prove that under a certain non-degeneracy condition the center of An is isomorphic to the ring ...
Added: September 28, 2015
V школа-конференция по алгебраической геометрии и комплексному анализу для молодых математиков России
Математический институт им. В. А. Стеклова РАН, 2015.
Тезисы лекций и докладов на V школе-конференции по алгебраической геометрии и коплексному анализу для молодых математиков России (г. Коряжма Архангельской области, Филиал Северного (Арктического) федерального университета им. М. В. Ломоносова, 17–22 августа 2015 г.). ...
Added: September 25, 2015
Handbook of Moduli. Vol. I
Boston: International Press of Boston Inc, 2013.
The Handbook of Moduli, comprising three volumes, offers a multi-faceted survey of a rapidly developing subject aimed not just at specialists but at a broad community of producers of algebraic geometry, and even at some consumers from cognate areas. The thirty-five articles in the Handbook, written by fifty leading experts, cover nearly the entire range of the field. They ...
Added: February 27, 2015
On a theory of the b-function in positive characteristic
Bitoun T., / Series math "arxiv.org". 2014.
We introduce a theory of the b-function (or Bernstein-Sato polynomial) in positive characteristic. Let  be a field of characteristic and let be a nonconstant polynomial. The b-function of is an ideal of a nonnoetherian commutative algebra of characteristic but it has "roots" in. We prove the existence of the b-function as well as the rationality ...
Added: February 10, 2015
Full symplectic packing for tori and hyperkahler manifolds
Entov M., Verbitsky M., / Series math "arxiv.org". 2014.
Let M be a closed symplectic manifold of volume V. We say that M admits a full symplectic packing by balls if any collection of symplectic balls of total volume less than V admits a symplectic embedding to M. In 1994 McDuff and Polterovich proved that symplectic packings of Kahler manifolds can be characterized in ...
Added: February 5, 2015
Some applications of p-adic uniformization to algebraic dynamics
Amerik E., / Series math "arxiv.org". 2014.
This is not a research paper, but a survey submitted to a proceedings volume. ...
Added: February 5, 2015
Twisted zastava and q-Whittaker functions
Braverman A., Michael Finkelberg, / Series math "arxiv.org". 2014.
In this note, we extend the results of arxiv:1111.2266 and arxiv:1203.1583 to the non simply laced case. To this end we introduce and study the twisted zastava spaces. ...
Added: February 5, 2015
Worst singularities of plane curves of given degree
Ivan Cheltsov, / Series math "arxiv.org". 2014.
I prove that $\frac{2}{d}$, $\frac{2d-3}{(d-1)^2}$, $\frac{2d-1}{d(d-1)}$, $\frac{2d-5}{d^2-3d+1}$ and $\frac{2d-3}{d(d-2)}$ are the smallest log canonical thresholds of reduced plane curves of degree $d\geqslant 3$. I describe reduced plane curves of degree $d$ whose log canonical thresholds are these numbers. I prove that every reduced plane curve of degree $d\geqslant 4$ whose log canonical threshold is smaller than $\frac{5}{2d}$ is GIT-unstable for the ...
Added: February 5, 2015
Dynamic alpha-invariants of del Pezzo surfaces
Ivan Cheltsov, Martinez-Garcia J., / Series math "arxiv.org". 2014.
For every smooth del Pezzo surface $S$, smooth curve $C\in|-K_{S}|$ and $\beta\in(0,1]$, we compute the $\alpha$-invariant of Tian $\alpha(S,(1-\beta)C)$ and prove the existence of K\"ahler--Einstein metrics on $S$ with edge singularities along $C$ of angle $2\pi\beta$ for $\beta$ in certain interval. In particular we give lower bounds for the invariant $R(S,C)$, introduced by Donaldson as ...
Added: February 5, 2015
Gaiotto-Witten superpotential and Whittaker D-modules on monopoles
Braverman A., Dobrovolska G., Michael Finkelberg, / Series math "arxiv.org". 2014.
Let G be an almost simple simply connected group over complex numbers. For a positive element α of the coroot lattice of G let Z^α denote the space of based maps from the projective line to the flag variety of G of degree α. This space is known to be isomorphic to the space of ...
Added: February 3, 2015
Baxter-Belavin R-matrices as non-abelian generalization of elliptic functions
A. Levin, Olshanetsky M., Zotov A., / Series math "arxiv.org". 2015.
It was shown in our previous paper that quantum ${\rm gl}_N$ $R$-matrices satisfy noncommutative analogues of the Fay identities in ${\rm gl}_N^{\otimes 3}$. In this paper we extend the list of $R$-matrix valued elliptic function identities. We propose counterparts of the Fay identities in ${\rm gl}_N^{\otimes 2}$, the symmetry between the Planck constant and the spectral parameter, quasi-periodicities with respect ...
Added: February 3, 2015
On rigid plane curves
Viktor S. Kulikov, Shustin E., / Series math "arxiv.org". 2015.
In the article, we exhibit a series of new examples of rigid plane curves, that is, curves, whose collection of singularities determines them almost uniquely up to a projective transformation of the plane. ...
Added: February 2, 2015
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit