Work

A Torelli Type theorem for Nodal curves

Year: 2021

Type: preprint

Abstract: The moduli space of Gieseker vector bundles is a compactification of moduli of vector bundles on a nodal curve. This moduli space has only normal crossing singularity and it provides a flat degeneration. We prove a Torelli type theorem for a nodal curve using the moduli space of stable Gieseker vector bundles of fixed rank (strictly greater than $1$) and fixed degree such that rank and degree are co-prime.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2106.08506

Authors: Basu, Suratno, Das, Sourav

Institutions: SRM University, Andhra Pradesh, SRM University, Tata Institute of Fundamental Research, Chennai Mathematical Institute

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3172097180

Cites: 5

Cited by:

Related to: 20