On the abundance problem for 3-folds in characteristic p> 5

Omprokash Das; Joe Waldron

doi:10.1007/s00209-018-2110-5

On the abundance problem for 3-folds in characteristic p> 5

Omprokash Das
, Joe Waldron

Mathematics

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

9 Scopus citations

Abstract

In this article we prove two cases of the abundance conjecture for 3-folds in characteristic p> 5 : (i) (X, Δ) is klt and κ(X, K_X+ Δ) = 1 , and (ii) (X, Δ) is klt, K_X+ Δ ≡ 0 and X is not uniruled.

Original language	English (US)
Pages (from-to)	937-946
Number of pages	10
Journal	Mathematische Zeitschrift
Volume	292
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-018-2110-5
State	Published - Aug 1 2019

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00209-018-2110-5

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title = "On the abundance problem for 3-folds in characteristic p> 5",

abstract = "In this article we prove two cases of the abundance conjecture for 3-folds in characteristic p> 5 : (i) (X, Δ) is klt and κ(X, KX+ Δ) = 1 , and (ii) (X, Δ) is klt, KX+ Δ ≡ 0 and X is not uniruled.",

author = "Omprokash Das and Joe Waldron",

note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Germany, part of Springer Nature.",

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T1 - On the abundance problem for 3-folds in characteristic p> 5

AU - Das, Omprokash

AU - Waldron, Joe

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N2 - In this article we prove two cases of the abundance conjecture for 3-folds in characteristic p> 5 : (i) (X, Δ) is klt and κ(X, KX+ Δ) = 1 , and (ii) (X, Δ) is klt, KX+ Δ ≡ 0 and X is not uniruled.

AB - In this article we prove two cases of the abundance conjecture for 3-folds in characteristic p> 5 : (i) (X, Δ) is klt and κ(X, KX+ Δ) = 1 , and (ii) (X, Δ) is klt, KX+ Δ ≡ 0 and X is not uniruled.

UR - https://www.scopus.com/pages/publications/85051666472

UR - https://www.scopus.com/pages/publications/85051666472#tab=citedBy

U2 - 10.1007/s00209-018-2110-5

DO - 10.1007/s00209-018-2110-5

M3 - Article

AN - SCOPUS:85051666472

SN - 0025-5874

VL - 292

SP - 937

EP - 946

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

On the abundance problem for 3-folds in characteristic p> 5

Abstract

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