Slope inequalities for KSB‐stable and K‐stable families-Reference-Cited by-同舟云学术

Slope inequalities for KSB‐stable and K‐stable families

Published:2023-01-11 Issue:4 Volume:126 Page:1394-1465
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proceedings of London Math Soc

Author:

Codogni Giulio¹,Tasin Luca²,Viviani Filippo³

Affiliation:

1. Dipartimento di Matematica Università degli Studi di Roma Tor Vergata, Via della Ricerca Scientifica Roma Italy

2. Dipartimento di Matematica F. Enriques Università degli Studi di Milano Milano Italy

3. Dipartimento di Matematica e Fisica Università degli Studi Roma Tre, Largo San Leonardo Murialdo Rome Italy

Abstract

AbstractWe prove some higher dimensional generalizations of the slope inequality originally due to G. Xiao, and to M. Cornalba and J. Harris. We give applications to families of KSB‐stable and K‐stable pairs, as well as to the study of the ample cone of the moduli space of KSB‐stable varieties. Our proofs rely on the study of the Harder–Narasimhan filtration, and some generalizations of Castelnuovo's and Noether's inequalities.

Funder

Ministero dell’Istruzione, dell’Università e della Ricerca

Nuclear Fuel Cycle and Supply Chain

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12512

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