ACC for minimal log discrepancies of exceptional singularities
We prove the existence of $ n $-complements for pairs with DCC coefficients and the ACC
for minimal log discrepancies of exceptional singularities. In order to prove these results, we …
for minimal log discrepancies of exceptional singularities. In order to prove these results, we …
Rational singularities
SJ Kovács - arXiv preprint arXiv:1703.02269, 2017 - arxiv.org
A resolution-free definition of rational singularities is introduced, and it is proved that for a
variety admitting a resolution of singularities, so in particular in characteristic zero, this is …
variety admitting a resolution of singularities, so in particular in characteristic zero, this is …
The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay
B Totaro - arXiv preprint arXiv:1710.04364, 2017 - arxiv.org
We show that the Kodaira vanishing theorem can fail on smooth Fano varieties of any
characteristic p> 0. Taking cones over some of these varieties, we give the first examples of …
characteristic p> 0. Taking cones over some of these varieties, we give the first examples of …
On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
E Arvidsson, F Bernasconi, J Lacini - Compositio Mathematica, 2022 - cambridge.org
On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive
characteristic Page 1 On the Kawamata–Viehweg vanishing theorem for log del Pezzo …
characteristic Page 1 On the Kawamata–Viehweg vanishing theorem for log del Pezzo …
Quasi‐F‐splittings in birational geometry II
T Kawakami, T Takamatsu, H Tanaka… - Proceedings of the …, 2024 - Wiley Online Library
Quasi‐F‐splittings in birational geometry II - Kawakami - 2024 - Proceedings of the London
Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article Information …
Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article Information …
On the Minimal Model Program for K\" ahler 3-folds
In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in
dimension $ n $ for compact K\" ahler varieties, assuming results of the minimal model …
dimension $ n $ for compact K\" ahler varieties, assuming results of the minimal model …
Vanishing Theorems for Three-folds in Characteristic p > 5
F Bernasconi, J Kollár - International Mathematics Research …, 2023 - academic.oup.com
Abstract We prove Grauert–Riemenschneider–type vanishing theorems for excellent
divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of …
divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of …
On the relative minimal model program for fourfolds in positive and mixed characteristic
C Hacon, J Witaszek - Forum of Mathematics, Pi, 2023 - cambridge.org
We show the validity of two special cases of the four-dimensional minimal model program
(MMP) in characteristic: for contractions to-factorial fourfolds and in families over curves …
(MMP) in characteristic: for contractions to-factorial fourfolds and in families over curves …
The minimal model program for threefolds in characteristic 5
C Hacon, J Witaszek - Duke Mathematical Journal, 2022 - projecteuclid.org
The minimal model program for threefolds in characteristic 5 Page 1 THE MINIMAL MODEL
PROGRAM FOR THREEFOLDS IN CHARACTERISTIC 5 CHRISTOPHER HACON and JAKUB …
PROGRAM FOR THREEFOLDS IN CHARACTERISTIC 5 CHRISTOPHER HACON and JAKUB …
On the relative minimal model program for threefolds in low characteristics
C Hacon, J Witaszek - Peking Mathematical Journal, 2022 - Springer
We show the validity of the relative dlt MMP over Q-factorial threefolds in all characteristics
p> 0. As a corollary, we generalise many recent results to low characteristics including: WO …
p> 0. As a corollary, we generalise many recent results to low characteristics including: WO …