Zobrazeno 1 - 10
of 363
pro vyhledávání: '"Polishchuk, Alexander"'
We determine the convergence regions of certain local integrals on the moduli spaces of curves in neighborhoods of fixed stable curves in terms of the combinatorics of the corresponding graphs.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2409.10005
Autor:
Kazhdan, David, Polishchuk, Alexander
Let $C$ be a curve over a non-archimedean local field of characteristic zero. We formulate algebro-geometric statements that imply boundedness of functions on the moduli space of stable bundles of rank $2$ and fixed odd degree determinant over $C$, c
Externí odkaz:
http://arxiv.org/abs/2408.10551
We study the behavior of the superperiod map near the boundary of the moduli space of stable supercurves and prove that it is similar to the behavior of periods of classical curves. We consider two applications to the geometry of this moduli space in
Externí odkaz:
http://arxiv.org/abs/2408.11136
Autor:
Polishchuk, Alexander, Rains, Eric
We prove that for every relatively prime pair of integers $(d,r)$ with $r>0$, there exists an exceptional pair $({\mathcal O},V)$ on any del Pezzo surface of degree 4, such that $V$ is a bundle of rank $r$ and degree $d$. As an application, we prove
Externí odkaz:
http://arxiv.org/abs/2407.19307
Autor:
Polishchuk, Alexander, Rains, Eric
We consider the ${\mathbb Z}^n$-graded algebra of global sections of line bundles generated by the standard line bundles $L_1,\ldots,L_n$ on $\bar{M}_{0,n}$. We find a simple presentation of this algebra by generators and quadratic relations. As an a
Externí odkaz:
http://arxiv.org/abs/2405.21062
Autor:
Hua, Zheng, Polishchuk, Alexander
We establish a link between open positroid varieties in the Grassmannians $G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle $C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to
Externí odkaz:
http://arxiv.org/abs/2404.03935
Autor:
Polishchuk, Alexander
We study the standard family of supercurves of genus 1 with an underlying odd spin structures. We give a simple algebraic description of this family and of the compactified family of stable supercurves with one Neveu-Schwarz puncture. We also describ
Externí odkaz:
http://arxiv.org/abs/2403.02424
Let $\rm{Bun}$ be the moduli stack of rank $2$ bundles with fixed determinant on a smooth proper curve $C$ over a local field $F$. We show how to associate with a Schwartz $\kappa$-density, for $\rm{Re}(\kappa)\ge 1/2$, a smooth function on the corre
Externí odkaz:
http://arxiv.org/abs/2401.01037
Publikováno v:
SIGMA 20 (2024), 037, 19 pages
We prove that a pair of Feigin-Odesskii Poisson brackets on ${\mathbb P}^4$ associated with elliptic curves given as linear sections of the Grassmannian $G(2,5)$ are compatible if and only if this pair of elliptic curves is contained in a del Pezzo s
Externí odkaz:
http://arxiv.org/abs/2310.18759
We study the relation between the Hodge filtration of the de Rham cohomology of a proper smooth supervariety $X$ and the usual Hodge filtration of the corresponding reduced variety $X_0$.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2308.08083