Lagrangian subvarieties of the moduli space of stable vector bundles on a regular algebraic surface with \(p_ g>0\)
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 \(p_ g>0\).
scientific article; zbMATH DE number 537216