Work

Compact Kähler surfaces with semipositive anticanonical bundle

Year: 2026

Type: preprint

Abstract: We classify compact Kähler surfaces with semipositive anticanonical bundle. In particular, we resolve a question of Demailly--Peternell--Schneider: any blowup of $\mathbb{P}^2$ at 9 points on a smooth cubic has semipositive anticanonical bundle.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.26716

Authors: Chen, Yifan, Filip, Simion, Sun, Song, Tosatti, Valentino, Zhang, Junsheng

Institutions: University of Rome Tor Vergata, Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214112992

Cites: 5

Cited by:

Related to: 10