Compactifications of subvarieties of tori

• Autores: Jenia Tevelev
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 129, Nº 4, 2007, págs. 1087-1104
• Idioma: inglés
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• Resumen

  • We study compactifications of subvarieties of algebraic tori defined by imposing a sufficiently fine polyhedral structure on their non-archimedean amoebas. These compactifications have many nice properties, for example any $k$ boundary divisors intersect in codimension $k$. We consider some examples including $M_{0,n}\subset\overline{M}_{0,n}$ (and more generally log canonical models of complements of hyperplane arrangements) and compact quotients of Grassmannians by a maximal torus