• Generalized parabolic bundles and applications— II

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/106/04/0403-0420

• # Keywords

Generalized parabolic bundles; nodal curves; torsionfree sheaves

• # Abstract

We prove the existence of the moduli spaceM(n,d) of semistable generalised parabolic bundles (GPBs) of rankn, degreed of certain general type on a smooth curve. We study interesting cases of the moduli spacesM(n, d) and find explicit geometric descriptions for them in low ranks and genera. We define tensor products, symmetric powers etc. and the determinant of a GPB. We also define fixed determinant subvarietiesML(n, d),L being a GPB of rank 1. We apply these results to study of moduli spaces of torsionfree sheaves on a reduced irreducible curveY with nodes and ordinary cusps as singularities. We also study relations among these moduli spaces (rank 2) as polarization varies over [0, 1].

• # Author Affiliations

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

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019