Lagrangian subvarieties of the moduli space of stable vector bundles on a regular algebraic surface with \(p_ g>0\)
type: Item
instance of: scholarly article
title: Lagrangian subvarieties of the moduli space of stable vector bundles on a regular algebraic surface with \(p_ g>0\)
zbMATH Open document ID: 0789.14035
DOI: 10.1007/BF01444894
author: Yun-Gang Ye
published in: Mathematische Annalen
publication date: 1994-03-23T00:00:00Z
full work available at URL: https://eudml.org/doc/165049
review text: Mukai showed that there is a nondegenerate symplectic structure on the moduli space of stable vector bundles on a \(K3\) surface. Later Tyurin studied (generalized) symplectic structures on the moduli space of stable vector bundles on any smooth regular surface \(X\) with \(p_ g>0\). The purpose of this paper is to use Brill-Noether theory for curves to construct explicitly a family of Lagrangian subvarieties of the moduli space of stable vector bundles on a regular surface with \(p_ g>0\).
Mathematics Subject Classification ID: 14J10
Mathematics Subject Classification ID: 14J28
Mathematics Subject Classification ID: 14D20
zbMATH DE Number: 537216
zbMATH Keywords: linear system
zbMATH Keywords: \(K3\) surface
zbMATH Keywords: symplectic structure
zbMATH Keywords: moduli space
zbMATH Keywords: Brill- Noether theory
zbMATH Keywords: Lagrangian
MaRDI profile type: Publication
cites work: Q3347989
cites work: ON DEFORMATION OF SHEAVES
cites work: Polynomial invariants for smooth four-manifolds
cites work: Rank two vector bundles over regular elliptic surfaces
cites work: On the Existence of Special Divisors
cites work: Q4285483
cites work: Brill-Noether-Petri without degenerations
cites work: Stable vector bundles on an algebraic surface
cites work: Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
cites work: Cycles, curves and vector bundles on an algebraic surface
cites work: SYMPLECTIC STRUCTURES ON THE VARIETIES OF MODULI OF VECTOR BUNDLES ON ALGEBRAIC SURFACES WITHpg> 0
cites work: Generic smoothness of the moduli spaces of rank two stable vector bundles over algebraic surfaces
description: scientific article; zbMATH DE number 537216