4 papers
Well-clipped cones under finite quotients and applications to the cone conjecture
Cécile Gachet
We introduce a property of convex cones, being "well-clipped", that is inspired by the work of several complex algebraic geometers on the Morrison-Kawamata cone conjecture. That pr…
The effective cone conjecture for Calabi--Yau pairs
Cécile Gachet, Hsueh-Yung Lin, Isabel Stenger +1
We formulate an effective cone conjecture for klt Calabi--Yau pairs , pertaining to the structure of the cone of effective divisors modulo the action of t…
The pseudoautomorphism group of blown-up at very general points
Cécile Gachet
We prove that the pseudoautomorphism group of a blow-up of at very general points is trivial. We also establish the injectivity of the Coble representation assoc…
Fundamental groups of log Calabi-Yau surfaces
Cécile Gachet, Zhining Liu, JoaquÃn Moraga
In this article, we study the orbifold fundamental group of a Calabi--Yau pair with log canonical singularities. We conjecture that the orbifold fun…