Maps of Mori dream spaces

DOI10.1016/j.jpaa.2017.06.018zbMath1390.14009arXiv1605.06789OpenAlexW2402205059MaRDI QIDQ684089

Elena Martinengo, Andreas Hochenegger

Publication date: 9 February 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06789

zbMATH Keywords

stacksCox ringsMori dream spacesCox liftMori dream stacks

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Minimal model program (Mori theory, extremal rays) (14E30) Generalizations (algebraic spaces, stacks) (14A20)

Cites Work

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• Recasting results in equivariant geometry
• The functor of a toric variety with enough invariant effective Cartier divisors
• Homogeneous coordinates for algebraic varieties.
• Lifting of morphisms to quotient presentations
• Mori dream stacks
• Maps of toric varieties in Cox coordinates
• Smooth toric Deligne-Mumford stacks
• Non-normal abelian covers
• Cox Rings
• Using stacks to impose tangency conditions on curves
• Gromov-Witten theory of Deligne-Mumford stacks
• Maps of Mori Dream Spaces in Cox coordinates Part I: existence of descriptions
• Functorial destackification of tame stacks with abelian stabilisers
• Mori dream spaces and GIT.

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