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8 papers · 2 filters
An optimal gap of minimal log discrepancies of threefold non-canonical singularities
Jihao Liu, Liudan Xiao
We show that the minimal log discrepancy of any -Gorenstein non-canonical threefold is , which is an optimal bound.
Moduli spaces on the Kuznetsov component of Fano threefolds of index 2
Matteo Altavilla, Marin Petkovic, Franco Rota
General hyperplane sections of a Fano threefold of index 2 and Picard rank 1 are del Pezzo surfaces, and their Picard group is related to a root system. To the corresponding ro…
RationalMaps, a package for Macaulay2
C. J. Bott, S. Hamid Hassanzadeh, Karl Schwede +1
This paper describes the RationalMaps package for Macaulay2. This package provides functionality for computing several aspects of rational maps such as whether a map is birational,…
Fujita's conjecture for quasi-elliptic surfaces
Yen-An Chen
We show that Fujita's conjecture is true for quasi-elliptic surfaces. Explicitly, for any quasi-elliptic surface and an ample line bundle on , we have is base…
A Note on Equivariant K-stability
Ziwen Zhu
We define G-pseudovaluations on a variety with a group action G. By introducing G-pseudovaluations, we are able to give some criteria for G-equivariant K-stability of Fano varietie…
Reductivity of the automorphism group of K-polystable Fano varieties
Jarod Alper, Harold Blum, Daniel Halpern-Leistner +1
We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness a…