On a Conjecture About Higgs Bundles and Some Inequalities-Reference-Cited by-同舟云学术

On a Conjecture About Higgs Bundles and Some Inequalities

Published:2023-09-05 Issue:6 Volume:20 Page:
ISSN:1660-5446
Container-title:Mediterranean Journal of Mathematics
language:en
Short-container-title:Mediterr. J. Math.

Author:

Bruzzo Ugo,Graña Otero Beatriz,Hernández Ruipérez Daniel

Abstract

AbstractWe briefly review an open conjecture about Higgs bundles that are semistable after pulling back to any curve, and prove it in the rank 2 case. We also prove some results in higher rank under suitable additional assumptions. Moreover, we establish a set of inequalities holding for H-nef Higgs bundles that generalize some of the Fulton–Lazarsfeld inequalities for numerically effective vector bundles.

Funder

CNPq

Ministero dell Universtae della Ricerca

I NDAM-GNSAGA

Ministerio de Ciencia e Innovacin

ERDF

Universidad de Salamanca

Scuola Internazionale Superiore di Studi Avanzati - SISSA

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00009-023-02494-z.pdf

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