A non-vanishing conjecture for cotangent bundles on elliptic surfaces

In this paper, we prove the non-vanishing conjecture for cotangent bundles on isotrivial elliptic surfaces. Combined with the result by Höring and Peternell, it completely solves the question for surfaces with Kodaira dimension at most <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>1</mml:mn> </mml:math> .

Authors

Publication Details

Journal
Comptes Rendus Mathématique
Published
2025-05-26
DOI
https://doi.org/10.5802/crmath.721
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

A non-vanishing conjecture for cotangent bundles on elliptic surfaces

Haesong Seo
Comptes Rendus Mathématique
Algebraic Geometry and Number Theory
article

A non-vanishing conjecture for cotangent bundles on elliptic surfaces

Haesong Seo
article en

Abstract

In this paper, we prove the non-vanishing conjecture for cotangent bundles on isotrivial elliptic surfaces. Combined with the result by Höring and Peternell, it completely solves the question for surfaces with Kodaira dimension at most <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>1</mml:mn> </mml:math> .

Comptes Rendus MathématiqueVol. 363(G5)
Institute for Basic Science
Openalex Percentile: Top 83%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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A non-vanishing conjecture for cotangent bundles on elliptic surfaces — Haesong Seo · Comptes Rendus Mathématique (2025) | TGRS Research Map | TGRS