On embeddings of Mori dream spaces

DOI10.1007/s10711-013-9880-zzbMath1295.14016arXiv1202.2935OpenAlexW2091297176MaRDI QIDQ2452183

John Levitt

Publication date: 30 May 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2935

zbMATH Keywords

toric varietyDel Pezzo surfaceMori dream spaceCox ringMinimal model program

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20) Embeddings in algebraic geometry (14E25)

Uses Software

• Macaulay2
• Magma

Cites Work

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• Mori dream spaces
• A survey on Cox rings
• The Magma algebra system. I: The user language
• Hilbert's 14th problem and Cox rings
• Existence of minimal models for varieties of log general type
• Mori dream spaces and GIT.

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