The Nonvanishing Problem for varieties with nef anticanonical bundle
Lazic, Vladimir; Matsumura, Shin-ichi; Peternell, Thomas; Tsakanikas, Nikolaos; Xie, Zhixin
2023

Abstract

We prove that if (X, A) is a threefold pair with mild singularities such that -(KX + A) is nef, then the numerical class of -(KX + A) is effective.

Details

Title The Nonvanishing Problem for varieties with nef anticanonical bundle
Author(s) Lazic, Vladimir ; Matsumura, Shin-ichi ; Peternell, Thomas ; Tsakanikas, Nikolaos ; Xie, Zhixin
Published in Documenta Mathematica
Volume 28
Pages 1393-1440
Date 2023-01-01
Publisher European Mathematical Soc-Ems, Berlin
ISSN 1431-0643
Keywords
DOI https://doi.org/10.4171/DM/936
Other identifier(s) View record in Web of Science
Laboratories CAG
Record Appears in Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > CAG - Chair of Geometric Analysis
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Grant Deutsche Forschungsgemeinschaft(DFG, German Research Foundation): 21H00976
JSPS: 19KK0342
286237555 - TRR 195
Record creation date 2024-02-20