Data di Pubblicazione:
2023
Citazione:
Slope inequalities for KSB-stable and K-stable families / G. Codogni, L. Tasin, F. Viviani. - In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6115. - 126:4(2023 Apr), pp. 1394-1465. [10.1112/plms.12512]
Abstract:
We 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.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
G. Codogni, L. Tasin, F. Viviani
Link alla scheda completa:
Link al Full Text: