1 citations · 2 across the 9 of their papers we have counts for
16 papers
The CompGIT package: a computational tool for Geometric Invariant Theory quotients
Robert Hanson, Jesus Martinez-Garcia
We describe CompGIT, a SageMath package to describe Geometric Invariant Theory (GIT) quotients of projective space by simple groups. The implementation is based on algorithms descr…
Two remarks on asymptotically log Fano pairs
Jesus Martinez-Garcia
Asymptotically log Fano pairs were introduced by Cheltsov and Rubinstein, generalising a definition of Maeda. They have received attention in the last decade within the theory of K…
K-moduli of log del Pezzo pairs and variations of GIT
Jesus Martinez-Garcia, Theodoros Stylianos Papazachariou, Junyan Zhao
We study the K-moduli of log del Pezzo pairs formed by a del Pezzo surface of degree and an anti-canonical divisor. These moduli spaces naturally depend on one parameter, provi…
K-stability of Casagrande-Druel varieties
Ivan Cheltsov, Tiago Duarte Guerreiro, Kento Fujita +2
We introduce a new subclass of Fano varieties (Casagrande-Druel varieties), that are -dimensional varieties constructed from Fano double covers of dimension . We conjecture…
One-dimensional components in the K-moduli of smooth Fano 3-folds
Hamid Abban, Ivan Cheltsov, Elena Denisova +5
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of…
Computation of GIT quotients of semisimple groups
Patricio Gallardo, Jesus Martinez-Garcia, Han-Bom Moon +1
We describe three algorithms to determine the stable, semistable, and torus-polystable loci of the GIT quotient of a projective variety by a reductive group. The algorithms are eff…