On uniqueness of additive actions on complete toric varieties

2020/07/14 by Sergey Dzhunusov, Dzhunusov, Sergey · 1 citation
Computer Science · Mathematics · #14J50 #14L30 #14M17 (Secondary) #14M25 (Primary) 13N15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2007.10113

openalex publication_date 2020/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By an additive action on an algebraic variety X we mean a regular effective action \mathbbG_aⁿ× X→ X with an open orbit of the commutative unipotent group \mathbbG_aⁿ. In this paper, we give a uniqueness criterion for additive action on a complete toric variety.

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• Classifying additive smooth Fano toric varieties

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