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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:


Ionov A. Primitive forms for Gepner singularities // Journal of Geometry and Physics. 2019. Vol. 140. P. 125-130. doi
De Deken O., Lowen W. Filtered cA_∞-Categories and Functor Categories // Applied Categorical Structures. 2018. Vol. 26. No. 5. P. 943-996. doi
Rumynin D., Vakhrameev D., Westaway M. Covering Groups of Nonconnected Topological Groups and 2-Groups // Communications in Algebra. 2019. Vol. 47. No. 12. P. 5207-5217. doi
Verbitsky M., Ornea L. Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds / Cornell University. Series arxive "math". 2019.
Finkelberg M., Braverman A., Ginzburg V., Travkin R. Mirabolic Satake equivalence and supergroups / Cornell University. Series arxive "math". 2019.
Shramov K. Birational automorphisms of Severi-Brauer surfaces / Cornell University. Series arxive "math". 2019.
Shramov K., Cheltsov I., Park J., Ahmadinezhad H. Double Veronese cones with 28 nodes / Cornell University. Series arxive "math". 2019.
Shramov K., Przyjalkowski V. Automorphisms of weighted complete intersections / Cornell University. Series arxive "math". 2019.
Alexander B., Lex O., Ptacek R. M., Timorin V. Models for spaces of dendritic polynomials // Transactions of the American Mathematical Society. 2019. Vol. 372. No. 7. P. 4829-4849. doi
Polishchuk A. Moduli of curves with nonspecial divisors and relative moduli of A_∞-structures // Journal of the Institute of Mathematics of Jussieu. 2019. Vol. 18. No. 6. P. 1295-1329. doi
Verbitsky M., Mehrotra S., Markman E. Rigid hyperholomorphic sheaves remain rigid along twistor deformations of the underlying hyparkähler manifold // European Journal of Mathematics. 2019. Vol. 5. No. 3. P. 964-1012. doi
Abramyan S., Panov T. E. Higher Whitehead Products in Moment—Angle Complexes and Substitution of Simplicial Complexes // Proceedings of the Steklov Institute of Mathematics. 2019. Vol. 1. No. 305. P. 1-21. doi
Soukhanov L. Non-Collapsible Dual Complexes and Fake del Pezzo Surfaces / Cornell University. Series arxive "math". 2019.
Kuznetsov A. G. Calabi–Yau and fractional Calabi–Yau categories // Journal fuer die reine und angewandte Mathematik. 2019. Vol. 2019. No. 753. P. 239-267. doi
Trepalin A., Loughran D. Inverse Galois problem for del Pezzo surfaces over finite fields / Cornell University. Series arxive "math". 2019.
Loginov K. Standard Models of Degree 1 del Pezzo Fibrations // Moscow Mathematical Journal. 2018. Vol. 18. No. 4. P. 721-737. doi
Polishchuk A., van der Bergh M. Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups // Journal of the European Mathematical Society. 2019. Vol. 21. No. 9. P. 2653-2749. doi
Bogomolov F. A., Fu H., Tschinkel Y. Torsion of elliptic curves and unlikely intersections, in: Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin. Oxford : Oxford University Press, 2018. doi P. 19-38. doi
Ornea L., Verbitsky M. Positivity of LCK Potential // Journal of Geometric Analysis. 2019. Vol. 29. No. 2. P. 1479-1489. doi
Verbitsky M., Solomon J. P. Locality in the Fukaya category of a hyperkähler manifold // Compositio Mathematica. 2019. Vol. 155. No. 10. P. 1924-1958. doi
Loginov K. On semistable degenerations of Fano varieties / Cornell University. Series arxive "math". 2019.
Kuznetsov A. G., Perry A. Homological projective duality for quadrics / Cornell University. Series arxive "math". 2019.
Verbitsky M., Vuletescu V., Ornea L. Flat affine subvarieties in Oeljeklaus–Toma manifolds // Mathematische Zeitschrift. 2019. Vol. 292. No. 3-4. P. 839-847. doi
Bogomolov F. A., Rovinsky M., Tschinkel Y. Homomorphisms of multiplicative groups of fields preserving algebraic dependence // European Journal of Mathematics. 2019. Vol. 5. No. 3. P. 656-685. doi
Prokhorov Y., Mori S. Threefold extremal contractions of type (IIA), II, in: Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin. Oxford : Oxford University Press, 2018. doi P. 623-652. doi
Biswas I., Mj M., Verbitsky M. Stable Higgs bundles over positive principal elliptic brations // Complex Manifolds. 2018. Vol. 5. No. 1. P. 195-201. doi
Polishchuk A. Fundamental Matrix Factorization in the FJRW-Theory Revisited // Arnold Mathematical Journal. 2019. Vol. 5. No. 1. P. 23-35. doi
Polishchuk A., Hua Z. Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve // Selecta Mathematica, New Series. 2019. Vol. 25. No. 3. P. 1-45. 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
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
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.