Supercongruences for rigid hypergeometric Calabi

We consider Takahashi’s categorical interpretation of the Berglund–Hubsch mirror symmetry conjecture for invertible polynomials in the case of chain polynomials. Our strategy is based on a stronger claim that the relevant categories satisfy a recursion of directed -categories, which may be of independent interest. We give a full proof of this claim on the B-side. On ...

Добавлено: 2 декабря 2024 г.

On the existence of nef-partitions for smooth well-formed Fano weighted complete intersections

Овчаренко М. А., Siberian Electronic Mathematical Reports 2023 Vol. 20 No. 2 P. 1405–1419

A nef-partition for a weighted complete intersection is a combinatorial structure on its weights and degrees which is important for Mirror Symmetry. It is known that nef-partitions exist for smooth well-formed Fano weighted complete intersections of small dimension or codimension, and that in these cases they are strong in the sense that they can be ...

Добавлено: 9 сентября 2024 г.

Discriminants and toric K-theory

Horja R. P., Katzarkov Ludmil, Advances in Mathematics 2024 Vol. 453 Article 109831

Добавлено: 17 августа 2024 г.

Mirror map for Fermat polynomials with a nonabelian group of symmetries

Басалаев А. А., Ионов А. А., Theoretical and Mathematical Physics 2021 Vol. 209 No. 2 P. 1491–1506

Добавлено: 23 ноября 2021 г.

A Version of the Berglund–Hübsch–Henningson Duality With Non-Abelian Groups

Ebeling W., Гусейн-Заде С. М., International Mathematics Research Notices 2021 Vol. 2021 No. 16 P. 12305–12329

Добавлено: 26 августа 2021 г.

Graph potentials and moduli spaces of rank two bundles on a curve

Галкин С. С., Belmans P., Mukhopadhyay S., / Series math "arxiv.org". 2020. No. 2009.05568.

We introduce graph potentials, which are Laurent polynomials associated to (colored) trivalent graphs. These graphs encode degenerations of curves to rational curves, and graph potentials encode degenerations of the moduli space of rank 2 bundles with fixed determinant. We show that the birational type of the graph potential only depends on the homotopy type of ...

Добавлено: 15 апреля 2021 г.

A Plücker coordinate mirror for type A flag varieties

Калашников И. Г., / Series arXiv "arXiv". 2020.

Добавлено: 26 ноября 2020 г.

A rim-hook rule for quiver flag varieties

Калашников И. Г., Gu W., / Series arXiv "arXiv". 2020.

Добавлено: 26 ноября 2020 г.

Semi-Calabi--Yau orbifolds and mirror pairs

Chiodo A., Калашников И. Г., Veniani D. C., Advances in Mathematics: Scientific Journal 2020 Vol. 363

Добавлено: 20 ноября 2020 г.

Dual invertible polynomials with permutation symmetries and the orbifold Euler characteristic

Гусейн-Заде С. М., Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2020 Vol. 16 No. 051 P. 1–15

Добавлено: 27 октября 2020 г.

Extended $r$-spin theory and the mirror symmetry for the $A_{r-1}$-singularity

Буряк А. Ю., Moscow Mathematical Journal 2020 Vol. 20 No. 3 P. 475–493

Добавлено: 22 мая 2020 г.

A family of K3 surfaces and towers of algebraic curves over finite fields

Галкин С. С., Рыбаков С. Ю., / Series math "arxiv.org". 2019. No. 1910.14379.

For a family of K3 surfaces we implement a variation of a general construction of towers of algebraic curves over finite fields given in a previous paper. As a result we get a good tower over k=𝔽_{p^2}, that is optimal if p=3. ...

Добавлено: 6 ноября 2019 г.

EA-Matrix Integrals of Associative Algebras and Equivariant Localization

Баранников С. А., Arnold Mathematical Journal 2019 Vol. 5 No. 1 P. 97–104

The EA-matrix integrals, introduced in Barannikov (Comptes Rendus Math 348:359–362, 2006), are studied in the case of graded associative algebras with odd or even scalar product. I prove that the EA-matrix integrals for associative algebras with scalar product are integrals of equivariantly closed differential forms with respect to the Lie algebra glN(A)glN(A). ...

Добавлено: 4 июня 2019 г.

Katzarkov-Kontsevich-Pantev Conjecture for Fano threefolds

Чельцов И. А., Пржиялковский В. В., / Series arXiv "math". 2018.

Добавлено: 3 декабря 2018 г.

Feynman transform and cohomological field theories

Баранников С. А., / Series HAL "math". 2018. No. 01804639.

Добавлено: 25 октября 2018 г.

Rotational-symmetry in a 3D scene and its 2D image

Савада Т., Zaidi Q., Journal of Mathematical Psychology 2018 Vol. 87 P. 108–125

Добавлено: 1 октября 2018 г.

Perception of 3D Symmetrical and Nearly Symmetrical Shapes

Jayadevan V., Савада Т., Delp E. и др., Symmetry 2018 Vol. 10 No. 8: 344 P. 1–24

Добавлено: 3 сентября 2018 г.

Gamma conjecture via mirror symmetry

Галкин С. С., Iritani H., , in: Primitive Forms and Related Subjects — Kavli IPMU 2014.: Tokyo: Mathematical Society of Japan, 2019. P. 55–115.

Добавлено: 1 сентября 2018 г.

Quantum Periods for Certain Four-Dimensional Fano Manifolds

Coates T., Галкин С. С., Kasprzyk A. и др., Experimental Mathematics 2020 Vol. 29 No. 2 P. 183–221

Добавлено: 1 сентября 2018 г.

Self-organized criticality and pattern emergence through the lens of tropical geometry

Калинин Н. С., Guzmán-Sáenz A., Prieto Y. и др., Proceedings of the National Academy of Sciences of the United States of America 2018 Vol. 115 No. 35 P. E8135–E8142

Добавлено: 28 августа 2018 г.