Stable rationality of hypersurfaces of mock toric variety I

2023/12/25 by Taro Yoshino, Yoshino, Taro
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation

paper · doi:10.48550/arxiv.2312.15605

Abstract

We introduce a mock toric variety, a generalization of a toric variety. For a non-toric example, Del-Pezzo surfaces are mock toric varieties. These new varieties inherit some properties of mock toric varieties. In application, we give sufficient conditions for the concrete construction of a strictly toroidal model of a hypersurface in a mock toric variety.

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