Completion of real fans and Zariski-Riemann spaces

DOI10.2748/tmj/1156256400zbMath1108.14039OpenAlexW1963863271MaRDI QIDQ854468

Masa-Nori Ishida, Günter Ewald

Publication date: 4 December 2006

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: http://www.math.tohoku.ac.jp/tmj/tohokumathjen.html

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items (10)

The minimal cone of an algebraic Laurent series ⋮ Variations on inversion theorems for Newton-Puiseux series ⋮ Equivariant completions of toric contraction morphisms ⋮ Two Points of the Boundary of Toric Geometry ⋮ Completions of fans ⋮ Toward a theory of monomial preorders ⋮ Nagata's compactification theorem for normal toric varieties over a valuation ring of rank one ⋮ Embedding the Picard group inside the class group: the case of \(\mathbb{Q}\)-factorial complete toric varieties ⋮ Toric geometry and the Semple-Nash modification ⋮ Embedding non-projective Mori dream space

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• A generalization of the imbedding problem of an abstract variety in a complete variety
• Local uniformization on algebraic varieties
• Introduction to Toric Varieties. (AM-131)
• The compactness of the Riemann manifold of an abstract field of algebraic functions

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