5 papers · 1 filter
Finiteness theorems for pseudo-coherent complexes on algebraic stacks
Jack Hall, Oliver Li
Let be a proper and tame morphism of algebraic stacks, where and are locally of finite type over an algebraic stack . We prove that sends compl…
Equivariant rationality of Fano threefolds in the family \textnumero 2.12
Oliver Li, Joseph Malbon, Antoine Pinardin
We prove that a faithful group action on the smooth complete intersection of three divisors of bidegree in $\p^3\times\p^3$ is linearisable if and only if $\rk(\pic^G(X…
A Semi-Orthogonal Decomposition Theorem for Weighted Blowups
Oliver Li
We establish a semi-orthogonal decomposition for the weighted blowup of an algebraic stack along a Koszul-regular weighted centre, generalising the classic result of Orlov. Our app…
Duality of differential operators and algebraic de Rham cohomology
Caleb Ji, Casimir Kothari, Oliver Li +3
Given a smooth proper morphism , we introduce a certain derived category where morphisms are permitted to be -linear differential operators.…
K-stability and space sextic curves of genus three
Ivan Cheltsov, Oliver Li, Sione Ma'u +1
We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable…