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

7 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

Access to Document

10.1093/imrn/rnab316

Cite this

@article{0c3efe52a3c84780bd6a214e4c79a247,

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",

year = "2023",

month = feb,

day = "1",

doi = "10.1093/imrn/rnab316",

language = "English (US)",

volume = "2023",

pages = "2846--2866",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - Vanishing Theorems for Three-folds in Characteristic p > 5

AU - Bernasconi, Fabio

AU - Kollár, János

PY - 2023/2/1

Y1 - 2023/2/1

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 - http://www.scopus.com/inward/record.url?scp=85150943769&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85150943769&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnab316

DO - 10.1093/imrn/rnab316

M3 - Article

AN - SCOPUS:85150943769

SN - 1073-7928

VL - 2023

SP - 2846

EP - 2866

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 4

ER -

Vanishing Theorems for Three-folds in Characteristic p > 5

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this