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Good quotients of Mori dream spaces

  • Published:2011-01-28 Issue:9 Volume:139 Page:3135-3139
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Bäker Hendrik

Abstract

We show that good quotients of algebraic varieties with finitely generated Cox ring have again finitely generated Cox ring.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. On Cox rings of K3 surfaces;Artebani, Michela;Compos. Math.,2010

2. Affine embeddings of homogeneous spaces;Arzhantsev, Ivan V.,2007

3. Arzhantsev, Ivan V.; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio: Cox rings. Preprint, arXiv:1003.4229v1.

4. Lecture Notes in Mathematics;Grosshans, Frank D.,1997

5. Geometric invariant theory based on Weil divisors;Hausen, Jürgen;Compos. Math.,2004

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1. Variation of stability for moduli spaces of unordered points in the plane;Transactions of the American Mathematical Society;2023-10-19

2. The Fulton-MacPherson compactification is not a Mori dream space;Mathematische Zeitschrift;2022-10-22

3. Gorensteinness and iteration of Cox rings for Fano type varieties;Mathematische Zeitschrift;2022-01-09

4. Unstable Loci in Flag Varieties and Variation of Quotients;International Mathematics Research Notices;2020-10-19

5. Cox ring of the generic fiber;Journal of Algebra;2020-06
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