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.
Codogni, G., Tasin, L., Viviani, F. (2023). Slope inequalities for KSB-stable and K-stable families. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 126(4), 1394-1465 [10.1112/plms.12512].
Slope inequalities for KSB-stable and K-stable families
Codogni, G;Viviani, F
2023-01-11
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.File in questo prodotto:
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