Stability of the parabolic Poincaré bundle-Reference-Cited by-同舟云学术

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Stability of the parabolic Poincaré bundle

Published:2018-04-02 Issue:05 Volume:15 Page:1850081
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Basu Suratno¹,Biswas Indranil²,Dan Krishanu³

Affiliation:

1. Institute of Mathematical Sciences, HBNI, CIT Campus, Tharamani, Chennai 600113, India

2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 4000005, India

3. Chennai Mathematical Institute, H1 Sipcot IT Park, Siruseri, Kelambakkam 603103, India

Abstract

Given a compact Riemann surface [Formula: see text] and a moduli space [Formula: see text] of parabolic stable bundles on it of fixed determinant of complete parabolic flags, we prove that the Poincaré parabolic bundle on [Formula: see text] is parabolic stable with respect to a natural polarization on [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887818500810

Reference11 articles.

1. Stability of the Poincaré Bundle

2. Brauer group of a moduli space of parabolic vector bundles over a curve

3. Determinants of parabolic bundles on Riemann surfaces

4. Rationality of Moduli Spaces of Parabolic Bundles

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Poincaré and Picard bundles on the moduli spaces of bundles on curves;Contemporary Mathematics;2024

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