Mori Dream Stacks
| Autor: | Andreas Hochenegger, Elena Martinengo |
|---|---|
| Přispěvatelé: | Hochenegger, A., Martinengo, E. |
| Rok vydání: | 2014 |
| Předmět: |
Pure mathematics
Mathematics::Commutative Algebra General Mathematics media_common.quotation_subject Picard group Root (chord) 14A20 14L30 14M25 Spectrum (topology) Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Stack (abstract data type) Computer Science::Sound FOS: Mathematics Mathematics (all) Settore MAT/03 - Geometria Abelian group Dream Cox ring Algebraic Geometry (math.AG) Quotient Mathematics media_common |
| DOI: | 10.48550/arxiv.1403.7984 |
| Popis: | We propose a generalisation of Mori dream spaces to stacks. We show that this notion is preserved under root constructions and taking abelian gerbes. Unlike the case of Mori dream spaces, such a stack is not always given as a quotient of the spectrum of its Cox ring by the Picard group. We give a criterion when this is true in terms of Mori dream spaces and root constructions. Finally, we compare this notion with the one of smooth toric Deligne-Mumford stacks. Comment: 19 pages, to appear in Mathematische Zeitschrift |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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