Blow-ups of smooth toric 3-varieties

DOI10.1007/BF02941610zbMath0648.14016OpenAlexW2002644906WikidataQ121030244 ScholiaQ121030244MaRDI QIDQ1104995

Günter Ewald

Publication date: 1987

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02941610

zbMATH Keywords

blow-upscomplete smooth toric 3-variety

Mathematics Subject Classification ID

(3)-folds (14J30) Rational and birational maps (14E05) Families, moduli, classification: algebraic theory (14J10) Designs and configurations (05B99)

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A classification of toric varieties with few generators, Torification and factorization of birational maps, Toroidal varieties and the weak factorization theorem, A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension. -- Correction by Kenji Matsuki, P.l. homeomorphic manifolds are equivalent by elementary shellings

Cites Work

• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Spherical complexes and nonprojective toric varieties
• Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties
• The number of faces of a simplicial convex polytope
• The number of roots of a system of equations
• BIRATIONAL GEOMETRY OF TORIC 3-FOLDS
• Angular momentum, convex Polyhedra and Algebraic Geometry
• Sous-groupes algébriques de rang maximum du groupe de Cremona
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