Vanishing Theorems for Three-folds in Characteristic p > 5

Fabio Bernasconi; János Kollár

doi:10.1093/imrn/rnab316

Vanishing Theorems for Three-folds in Characteristic p > 5

Fabio Bernasconi
, János Kollár

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We prove Grauert–Riemenschneider–type vanishing theorems for excellent divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of positive characteristic p > 5. Then we discuss applications to dlt singularities and to Mori fiber spaces of three-folds.

Original language	English (US)
Pages (from-to)	2846-2866
Number of pages	21
Journal	International Mathematics Research Notices
Volume	2023
Issue number	4
DOIs	https://doi.org/10.1093/imrn/rnab316
State	Published - Feb 1 2023

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnab316

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title = "Vanishing Theorems for Three-folds in Characteristic p > 5",

abstract = "We prove Grauert–Riemenschneider–type vanishing theorems for excellent divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of positive characteristic p > 5. Then we discuss applications to dlt singularities and to Mori fiber spaces of three-folds.",

author = "Fabio Bernasconi and J{\'a}nos Koll{\'a}r",

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AU - Kollár, János

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N2 - We prove Grauert–Riemenschneider–type vanishing theorems for excellent divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of positive characteristic p > 5. Then we discuss applications to dlt singularities and to Mori fiber spaces of three-folds.

AB - We prove Grauert–Riemenschneider–type vanishing theorems for excellent divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of positive characteristic p > 5. Then we discuss applications to dlt singularities and to Mori fiber spaces of three-folds.

UR - https://www.scopus.com/pages/publications/85150943769

UR - https://www.scopus.com/pages/publications/85150943769#tab=citedBy

U2 - 10.1093/imrn/rnab316

DO - 10.1093/imrn/rnab316

M3 - Article

AN - SCOPUS:85150943769

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 4

ER -

Vanishing Theorems for Three-folds in Characteristic p > 5

Abstract

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