Positivity of tangent bundle of weak Del Pezzo surfaces of degree $4$

Fuente: arXiv
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Autore principale: Zhang, Qimin
Natura: Preprint
Pubblicazione: 2026
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author Zhang, Qimin
author_facet Zhang, Qimin
contents In this paper, we prove that for any weak Del Pezzo surface $S$ of degree at least $4$, the tangent bundle $T_S$ is almost nef. For the proof, we use total dual VMRTs induced by conic bundle structures.
format Preprint
id arxiv_https___arxiv_org_abs_2604_09300
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Positivity of tangent bundle of weak Del Pezzo surfaces of degree $4$
Zhang, Qimin
Algebraic Geometry
In this paper, we prove that for any weak Del Pezzo surface $S$ of degree at least $4$, the tangent bundle $T_S$ is almost nef. For the proof, we use total dual VMRTs induced by conic bundle structures.
title Positivity of tangent bundle of weak Del Pezzo surfaces of degree $4$
topic Algebraic Geometry
url https://arxiv.org/abs/2604.09300