The moduli scheme of affine spherical varieties with a free weight monoid

Bravi P, Van Steirteghem B (2016)

Publication Type: Journal article

Publication year: 2016

Journal

International Mathematics Research Notices Oxford University Press (OUP): Policy H - Oxford Open Option A

Book Volume: 2016

Pages Range: 4544-4587

Journal Issue: 15

DOI: 10.1093/imrn/rnv281

Abstract

We study Alexeev and Brion's moduli scheme MΓ of affine spherical varieties with weight monoid Γ under the assumption that Γ is free. We describe the tangent space to MΓ at its "most degenerate point" in terms of the combinatorial invariants of spherical varieties and deduce that the irreducible components of MΓ, equipped with their reduced induced scheme structure, are affine spaces.

Authors with CRIS profile

Bart van Steirteghem

Involved external institutions

Università degli studi "La Sapienza" IT Italy (IT) Medgar Evers College of The City University of New York (CUNY) US United States (USA) (US)

How to cite

APA:

Bravi, P., & Van Steirteghem, B. (2016). The moduli scheme of affine spherical varieties with a free weight monoid. International Mathematics Research Notices, 2016(15), 4544-4587. https://dx.doi.org/10.1093/imrn/rnv281

MLA:

Bravi, Paolo, and Bart Van Steirteghem. "The moduli scheme of affine spherical varieties with a free weight monoid." International Mathematics Research Notices 2016.15 (2016): 4544-4587.

BibTeX: Download