The moduli stack of affine stable toric varieties

2013/02/05 by Olga V. Chuvashova, Chuvashova, Olga V., Nikolay A. Pechenkin +1
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1302.0930

Abstract

Let X be an irreducible affine T-variety. We consider families of affine stable toric T-varieties over X and give a description of the corresponding moduli space as the quotient stack of an open subscheme in a certain toric Hilbert scheme under the action of a torus.

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