Compactifications of subvarieties of tori
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Publication:5756315
DOI10.1353/AJM.2007.0029zbMATH Open1154.14039arXivmath/0412329OpenAlexW2171319959MaRDI QIDQ5756315
Author name not available (Why is that?)
Publication date: 4 September 2007
Published in: (Search for Journal in Brave)
Abstract: 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 (and more generally log canonical models of complements of hyperplane arrangements) and compact quotients of Grassmannians by a maximal torus.
Full work available at URL: https://arxiv.org/abs/math/0412329
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