Ample cone of KSB and K- moduli spaces

Giulio Codogni (Università di Roma Tor Vergata)

05-Apr-2022, 11:00-12:00 (2 years ago)

Abstract: I will present some quantitative results about the ample cone of the moduli spaces of KSB stable and K-stable varieties of any dimension. These results follow from various higher dimensional generalizations of the Xiao-Cornalba-Harris slope inequality. Our proofs combine some new Noether and Castelnuovo inequalities with a careful study of the Harder-Narasimhan filtration of the push-forward of the log pluri-canonical bundles. The talk is based on a joint work with Luca Tasin and Filippo Viviani.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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