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Unirationality and existence of infinitely transitive models
Ch. 4. P. 77–92.
We study unirational algebraic varieties and the fields of rational functions on them. We show that after adding a finite number of variables some of these fields admit an infinitely transitive model. The latter is an algebraic variety with the given field of rational functions and an infinitely transitive regular action of a group of algebraic automorphisms generated by unipotent algebraic subgroups. We expect that this property holds for all unirational varieties and in fact is a peculiar one for this class of algebraic varieties among those varieties which are rationally connected.
Yunhyung C., Eunjeong L., Mikiya M. et al., Fields Institute Communications 2024 Vol. 89 P. 107–119
Fano Bott manifolds bijectively correspond to signed rooted forests with some equivalence relation. Using this bijective correspondence, we enumerate the isomorphism classes of Fano Bott manifolds and the diffeomorphism classes of indecomposable Fano Bott manifolds. We also observe that the signed rooted forests with the equivalence relation bijectively correspond to rooted triangular cacti. ...
Added: August 30, 2025
Polotovskiy G., В кн.: 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. Гл. 11 С. 208–209.
Арифметическая и алгебраическая геометрия. ...
Added: February 9, 2025
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
Springer, 2024.
This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions. Contributions to this volume were written in connection to the thematic program Toric Topology and Polyhedral Products held ...
Added: January 15, 2025
Birkhäuser, 2023.
This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics. It presents original research as well as surveys, both providing a valuable overview of the current state ...
Added: November 13, 2023
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
Springer, 2016.
This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.
Recently, the trend has been towards geometrization of the mathematical ...
Added: October 18, 2023
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
Bogomolov F. A., Cheltsov I., Liendo A. et al., European Journal of Mathematics 2019 Vol. 5 P. 611–621
Introduction to a special volume of European Journal of Mathematics. ...
Added: August 14, 2020
Cheltsov I., Bogomolov F. A., European Journal of Mathematics 2018 Vol. 4 P. 699–707
Introduction to a special volume dedicated to W. Edge. ...
Added: August 14, 2020
Cheltsov I., Bogomolov F. A., European Journal of Mathematics 2018 Vol. 4 P. 1–7
Introduction to a special volume dedicated to W. Edge. ...
Added: August 14, 2020
Gorchinskiy S. O., Kulikov Vik. S., Parshin A. N. et al., Proceedings of the Steklov Institute of Mathematics 2019 Vol. 307 P. 1–21
A brief biography of Igor Rostislavovich Shafarevich and an overview of all his main scientific publications are presented. ...
Added: June 3, 2020
American Mathematical Society, 2019.
This is the second of two volumes dedicated to the centennial of the distinguished mathematician
Selim Grigorievich Krein.
Krein was a major contributor to functional analysis, operator theory, partial differential
equations, fluid dynamics, and other areas, and the author of several influential monographs
in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created
and ran, ...
Added: August 24, 2019
Shramov K., Ciliberto C., Farnik M. et al., Rendiconti del Circolo Matematico di Palermo 2017 Vol. 66 No. 2 P. 161–194
Given a smooth projective algebraic surface X, a point O in X and a big divisor D on X, we consider the set of all Newton-Okounkov bodies of D with respect to valuations of the field of rational functions of X centred at O, or, equivalently, with respect to a flag (E,p) which is infinitely ...
Added: September 13, 2018
Fonarev A., Moscow Mathematical Journal 2016 Vol. 16 No. 4 P. 711–726
We classify irreducible equivariant Ulrich vector bundles on isotropic Grassmannians. ...
Added: November 7, 2017
Loginov K., / Cornell University. Серия arXiv "math". 2017.
Построение стандартных моделей расслоений на поверхности дель Пеццо степени 1. ...
Added: October 10, 2017
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
Netay I. V., Савватеев А. В., / Series math "arxiv.org". 2016.
The paper is devoted to the description of family of scalene triangles for which the triangle formed by the intersection points of bisectors with opposite sides is isosceles.
We call them Sharygin triangles.
It turns out that they are parametrized by an open subset of an elliptic curve.
Also we prove that there are infinitely many non-similar integer ...
Added: October 19, 2016
Netay I. V., / Series math "arxiv.org". 2016.
In this work we explicitly calculate syzygies of quadratic Veronese embedding~$\mathbb{P}(V)\subset\mathbb{P}(\Sym^2V)$ as representations of the group~$\GL(V)$. Also resolutions of the sheaves $\mathscr{O}_{\mathbb{P}(V)}(i)$ are constructed in the category~$D(\mathbb{P}(\Sym^2V))$. ...
Added: October 19, 2016
М.: Математический институт им. В. А. Стеклова РАН, 2016.
Тезисы международной конференции ...
Added: August 22, 2016
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
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