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Compactifications of subvarieties of tori
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 129, Number 4, August 2007
- pp. 1087-1104
- 10.1353/ajm.2007.0029
- Article
- Additional Information
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 M0,n ⊂ M0,n (and more generally log canonical models of complements of hyperplane arrangements) and compact quotients of Grassmannians by a maximal torus.