Non-complete rational T-varieties of complexity one

2015/12/30 by Juergen Hausen, Hausen, Juergen, Milena Wrobel +1 · 3 citations
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1512.08930

Abstract

We consider rational varieties with a torus action of complexity one and extend the combinatorial approach via the Cox ring developed for the complete case in earlier work to the non-complete, e.g. affine, case. This includes in particular a description of all factorially graded affine algebras of complexity one with only constant homogeneous invertible elements in terms of canonical generators and relations.

Cited by

• Homogeneous locally nilpotent derivations on trinomial varieties
• On deformations of toric varieties
• On flexibility of trinomial varieties

Related

• On the topology of rational T-varieties of complexity one
• On iteration of Cox rings
• The Cox ring of a complexity-one horospherical variety
• Equivariant Cox ring
• Factorially graded rings and Cox rings