Rigid Trinomial Varieties
Polina Evdokimova, Sergey Gaifullin, Anton Shafarevich
TL;DR
This paper classifies all rigid trinomial varieties, which are affine varieties defined by polynomials with three monomials, and have no non-trivial additive group actions.
Contribution
It completes the classification of rigid trinomial varieties, advancing understanding of their structure and properties.
Findings
Complete classification of rigid trinomial varieties
Identification of conditions for rigidity
Clarification of the structure of trinomial varieties
Abstract
An algebraic variety is called rigid if there is no non-trivial action on of the additive group of the base field. A trinomial variety is an affine variety that is given by a set of equations consisting of polynomials with three monomials; see Definition 1. In this paper, we complete the classification of rigid trinomial varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems