Work

Torelli theorem for the product of moduli spaces of vector bundles over a curve

Year: 2026

Type: preprint

Abstract: We prove a Torelli-type theorem for a product of the moduli spaces of semistable vector bundles over smooth projective curves of genus $g\,\ge\, 4$. A similar result is proved for the product of the moduli stacks of semistable vector bundles. This is proved using a decomposition theorem for the product of the normal projective varieties with Picard rank one and discrete Picard group. As an application, we compute the automorphism group of the product of the moduli spaces and moduli stacks.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.10764

Authors: Biswas, Indranil, Dey, Arijit, Pahari, Anubhab

Institutions: Shiv Nadar University, Indian Institute of Technology Madras

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Indian Institute of Technology Madras

OpenAlex ID: W7212253724

Cites:

Cited by:

Related to: 10