• Generalized parabolic sheaves on an integral projective curve

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/102/01/0013-0022

• # Keywords

Generalized parabolic sheaf; projective curve

• # Abstract

We extend the notion of a parabolic vector bundle on a smooth curve to define generalized parabolic sheaves (GPS) on any integral projective curve X. We construct the moduli spacesM(X) of GPS of certain type onX. IfX is obtained by blowing up finitely many nodes inY then we show that there is a surjective birational morphism from M(X) to M (Y). In particular, we get partial desingularisations of the moduli of torsion-free sheaves on a nodal curveY.

• # Author Affiliations

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhaba Road, Bombay - 400005, India

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019