Add to ORKGWe prove invariance results for the cohomology groups of ideal sheaves of simple normal crossing divisors under (a restricted class of) birational morphisms of pairs in arbitrary characteristic. As an application, we extend some foundational results in the theory of rational pairs that were previously known only in characteristic 0.Comment: Comments welcome! V2: title updated to more specifically describe results, some repetitive parts of proofs consolidated into lemma
We show that the triangulated category of bounded constructible complexes on an algebraic variety X ...
We show a simple and fast embedded resolution of varieties and principalization of ideals in the lan...
Thesis (Ph.D.)--University of Washington, 2014Rational pairs, recently introduced by Kollár and Ková...
Thesis (Ph.D.)--University of Washington, 2021This document consists of three mathematically indepen...
We study intersection theory and Chern classes of reflexive sheaves on normal varieties. In particul...
Let $X$ be a smooth threefold with a simple normal crossings divisor $D$. We construct the Donaldson...
AbstractWe establish a formula which decomposes the cohomologies of various sheaves on a simple norm...
Let H be a homology theory for algebraic varieties over a field k. To a complete k-variety X, one na...
We study zero-cycles in families of rationally connected varieties. We show that for a smooth projec...
We compute Joyce's (arXiv:2111.04694) enumerative invariants $[\mathcal{M}^{\mathrm{ss}}_{(r,d)}]_{\...
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Koll\'ar in...
In 1988, Mirkovic and Vilonen and independently Ginzburg proved that, in characteristic $0$, a $G$-e...
We show that, for any fixed weight, there is a natural system of Hodge sheaves, whose Higgs field ha...
We prove a Zariski-Nagata purity theorem for the motivic ramification filtration of a reciprocity sh...
Thesis (Ph.D.)--University of Washington, 2014Rational pairs, recently introduced by Kollár and Ková...
We show that the triangulated category of bounded constructible complexes on an algebraic variety X ...
We show a simple and fast embedded resolution of varieties and principalization of ideals in the lan...
Thesis (Ph.D.)--University of Washington, 2014Rational pairs, recently introduced by Kollár and Ková...
Thesis (Ph.D.)--University of Washington, 2021This document consists of three mathematically indepen...
We study intersection theory and Chern classes of reflexive sheaves on normal varieties. In particul...
Let $X$ be a smooth threefold with a simple normal crossings divisor $D$. We construct the Donaldson...
AbstractWe establish a formula which decomposes the cohomologies of various sheaves on a simple norm...
Let H be a homology theory for algebraic varieties over a field k. To a complete k-variety X, one na...
We study zero-cycles in families of rationally connected varieties. We show that for a smooth projec...
We compute Joyce's (arXiv:2111.04694) enumerative invariants $[\mathcal{M}^{\mathrm{ss}}_{(r,d)}]_{\...
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Koll\'ar in...
In 1988, Mirkovic and Vilonen and independently Ginzburg proved that, in characteristic $0$, a $G$-e...
We show that, for any fixed weight, there is a natural system of Hodge sheaves, whose Higgs field ha...
We prove a Zariski-Nagata purity theorem for the motivic ramification filtration of a reciprocity sh...
Thesis (Ph.D.)--University of Washington, 2014Rational pairs, recently introduced by Kollár and Ková...
We show that the triangulated category of bounded constructible complexes on an algebraic variety X ...
We show a simple and fast embedded resolution of varieties and principalization of ideals in the lan...
Thesis (Ph.D.)--University of Washington, 2014Rational pairs, recently introduced by Kollár and Ková...