Alexander Polishchuk

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• An analog of theta-lifting for a curve over dual numbers over a finite field2026 · аннотациясвернуть

  We continue the study of automorphic functions associated with a curve C over the ring k[ε] /(ε^2), where k is a finite field, begun in [3]. More precisely, we study an example of…

• On supercurves of genus 1 with an underlying odd spin structure2025
• EXCEPTIONAL PAIRS ON DEL PEZZO SURFACES AND SPACES OF COMPATIBLE FEIGIN-ODESSKII BRACKETS2025
• Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties2025
• Erratum to “Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes” [Adv. Math. 415 (2023) 108890]2025
• Quadratic Algebras2005
• Abelian Varieties, Theta Functions and the Fourier Transform2003 · аннотациясвернуть

  The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. The…

• Categorical mirror symmetry: The elliptic curve1998 · аннотациясвернуть

  We describe jm isomorphism of categories conjectured by Kontsevich. If M and M are mirror pairs then the conjectural equivalence is between the derived category of coherent sheaves on M and a suitable version of…