Classification of weak del Pezzo pairs for surfaces

A weak del Pezzo surface is a smooth projective surface whose anticanonical divisor [Formula: see text] is nef and big. We generalize this concept to weak del Pezzo pairs for surfaces and classify those with minimal and non-minimal properties.

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Publication Details

Journal
Mathematics Open
Published
2024-11-29
DOI
https://doi.org/10.1142/s2811007224500093
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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Classification of weak del Pezzo pairs for surfaces

Masayoshi Miyanishi
Mathematics Open
Geometric Analysis and Curvature Flows
article

Classification of weak del Pezzo pairs for surfaces

Masayoshi Miyanishi
article en

Abstract

A weak del Pezzo surface is a smooth projective surface whose anticanonical divisor [Formula: see text] is nef and big. We generalize this concept to weak del Pezzo pairs for surfaces and classify those with minimal and non-minimal properties.

Mathematics OpenVol. 04
Kwansei Gakuin University (JP)
Openalex Percentile: Top 64%
Geometric Analysis and Curvature Flows
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Classification of weak del Pezzo pairs for surfaces — Masayoshi Miyanishi · Mathematics Open (2024) | TGRS Research Map | TGRS