An inequality for the Delta-genus of toric varieties

2023/09/03 by Shōetsu Ogata, Ogata, Shoetsu, Riki Tabei +1
Mathematics · Pharmacology, Toxicology and Pharmaceutics · Social Sciences · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Vietnamese History and Culture Studies #primary 14M25 #secondary 52B20

paper · pdf · doi:10.48550/arxiv.2309.01053

openalex publication_date 2023/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a polarized toric variety (X,L) of dimension n less than 5, we give a lower bound of the Delta-genus by using the vanishing number of adjoint bundle of a multiple of L. We show that for a polarized toric variety of dimension n with non-vanishing adjoint bundle, the Delta-genus is more than or equal to n-1.

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