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Regular version of the site

Classical, categorical and noncommutative algebraic geometry, special manifolds and geometry representation theory

Priority areas of development: mathematics
2019
The project has been carried out as part of the HSE Program of Fundamental Studies.

Publications:


Alexander B., Lex O., Ptacek R. M., Timorin V. Models for spaces of dendritic polynomials // Transactions of the American Mathematical Society. 2019. P. 4829-4849. doi
Lekili Y., Polishchuk A. Associative Yang–Baxter equation and Fukaya categories of square-tiled surfaces // Advances in Mathematics. 2019. Vol. 343. P. 273-315. doi
Finkelberg M. V., Goncharov E. Coulomb branch of a multiloop quiver gauge theory / Cornell University. Series arxive "math". 2019.
Verbitsky M., Amerik E. Contraction centers in families of hyperkahler manifolds / Cornell University. Series arxive "math". 2019.
Verbitsky M., Ornea L. Twisted Dolbeault cohomology of nilpotent Lie algebras / Cornell University. Series arxive "math". 2019.
Kuznetsov A. G., Debarre O. Gushel-Mukai varieties: moduli / Cornell University. Series arxive "math". 2018.
Perry A., Kuznetsov A. G. Categorical cones and quadratic homological projective duality / Cornell University. Series arxive "math". 2019.
Prokhorov Y. Rationality of ℚ-Fano threefolds of large Fano index / Cornell University. Series arxive "math". 2019.
Prokhorov Y., Duncan A., Cheltsov I., Blanc J. Birational self-maps of threefolds of (un)-bounded genus or gonality / Cornell University. Series arxive "math". 2019.
Прохоров Ю. Г., Mori S. Трехмерные экстремальные окрестности кривой с одной негоренштейновой точкой // Известия РАН. Серия математическая. 2019. Т. 83. № 3. С. 158-212. doi
Polishchuk A., Dyer B. NC-smooth algebroid thickenings for families of vector bundles and quiver representations // Compositio Mathematica. 2019. Vol. 155. No. 4. P. 681-710. doi
Campana F., Amerik E. Specialness and isotriviality for regular algebraic foliations // Annales de l'Institut Fourier. 2018. Vol. 68. No. 7. P. 2923-2950. doi
Polishchuk A. Moduli of curves with nonspecial divisors and relative moduli of A_∞-structures // Journal of the Institute of Mathematics of Jussieu. 2017. P. 1-35. doi
Rogov V. Complex Geometry of Iwasawa Manifolds // International Mathematical Research Notices. 2018. P. 1-20. doi
Cheltsov I., Martinez-Garcia J. Stable Polarized del Pezzo Surfaces // International Mathematics Research Notices. 2019. P. 1-29. doi
Angella D., Tomassini A., Verbitsky M. On non-Kähler degrees of complex manifolds // Advances in Geometry. 2019. Vol. 19. No. 1. P. 65-69. doi
Verbitsky M., Vuletescu V., Ornea L. Flat affine subvarieties in Oeljeklaus–Toma manifolds // Mathematische Zeitschrift. 2018. P. 1-9. doi
Kurnosov N., Soldatenkov A., Verbitsky M. Kuga-Satake construction and cohomology of hyperkähler manifolds // Advances in Mathematics. 2019. Vol. 351. P. 275-295. doi
Blokh A., Oversteegen L., Timorin V. Perfect subspaces of quadratic laminations // Science China Mathematics. 2018. Vol. 61. No. 12. P. 2121-2138. doi
Зыкин А., Lebacque P. On M-Functions Associated with Modular Forms // Moscow Mathematical Journal. 2018. Vol. 18. No. 3. P. 437-472. doi
Ostrik V. Remarks on global dimensions of fusion categories // Contemporary Mathematics Series. 2019. Vol. 728. P. 169-180. doi
Krylov V., Перунов И. Generalized Slices for Minuscule Cocharacters / Cornell University. Series arxive "math". 2019.
Ostrik V., Etingof P. On semisimplification of tensor categories / Cornell University. Series arxive "math". 2019.