Characterizations of Fano type varieties and projective spaces via absolute complexity

In this paper, we obtain several characterizations of varieties of Fano type and projective spaces via absolute complexity. Also, we show that if the absolute complexity of a given pair ( X , Δ ) is negative, then the pair ( X , Δ ) does not admit any - ( K X + Δ ) -minimal models.

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Bibliographic Details
Published in:Manuscripta mathematica 2024, Vol.174 (3-4), p.731-747
Main Author: Lee, Dae-Won
Format: Article
Language:English
Subjects:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Complexity
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Description
Summary:In this paper, we obtain several characterizations of varieties of Fano type and projective spaces via absolute complexity. Also, we show that if the absolute complexity of a given pair ( X , Δ ) is negative, then the pair ( X , Δ ) does not admit any - ( K X + Δ ) -minimal models.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-023-01526-y