44 citations · 245 across the 38 of their papers we have counts for
48 papers
Endomorphisms of singular del Pezzo surfaces
Burt Totaro
A natural problem of algebraic dynamics is to classify the complex projective varieties that admit an endomorphism of degree greater than 1. Joshi solved the problem for all canoni…
Chow groups with twisted coefficients
Burt Totaro
Rost defined the Chow group of algebraic cycles with coefficients in a locally constant torsion etale sheaf. We generalize the definition to allow non-torsion coefficients. Chow gr…
Terminal 3-folds that are not Cohen-Macaulay
Burt Totaro
An important local vanishing theorem for the minimal model program is the fact that klt singularities in characteristic zero are Cohen-Macaulay. In contrast, even in the narrow set…
Log canonical pairs with conjecturally minimal volume
Louis Esser, Burt Totaro
We construct log canonical pairs with a nonzero reduced divisor and ample that have the smallest known volume. We conjecture that our examples have the smallest…
Endomorphisms of Fano 3-folds and log Bott vanishing
Burt Totaro
Kawakami and the author showed that a projective variety with an int-amplified endomorphism of degree invertible in the base field satisfies Bott vanishing. That was a new way to a…
Bott vanishing for Fano 3-folds
Burt Totaro
Bott proved a strong vanishing theorem for sheaf cohomology on projective space, namely that for every , , and ample. This holds for tor…