[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j190334

DEFORMATION OF LOCALLY FREE SHEAVES AND HITCHIN PAIRS OVER NODAL CURVE

Sun, Hao (Department of Mathematics Sun Yat-Sen University)

Publication Information

Journal of the Korean Mathematical Society / v.57, no.4, 2020 , pp. 809-823 More about this Journal

Abstract

In this article, we study the deformation theory of locally free sheaves and Hitchin pairs over a nodal curve. As a special case, the infinitesimal deformation of these objects gives the tangent space of the corresponding moduli spaces, which can be used to calculate the dimension of the corresponding moduli space. The deformation theory of locally free sheaves and Hitchin pairs over a nodal curve can be interpreted as the deformation theory of generalized parabolic bundles and generalized parabolic Hitchin pairs over the normalization of the nodal curve, respectively. This interpretation is given by the correspondence between locally free sheaves over a nodal curve and generalized parabolic bundles over its normalization.

Keywords

Hitchin pair; nodal curve; generalized parabolic bundle; generalized parabolic Hitchin pair;

Citations & Related Records

Reference

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