83
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Blow-Ups of Toric Surfaces and the Mori Dream Space Property

References

  • [Castravet 15] A.-M. Castravet. Mori Dream Spaces and blow-ups. Proceedings of the AMS Summer Institute in Algebraic Geometry. arXiv:1701.04738 [math.AG], 2015.
  • [Castravet and Tevelev 91] A.-M. Castravet and J. Tevelev. “M¯0,n is not a Mori dream space.” Duke Math. J. 164:8 1991, 1641–1667.
  • [Cutkosky 91] S. D. Cutkosky. “Symbolic algebras of monomial primes.” J. Reine Angew. Math. 416 (1991), 71–89.
  • [Dumnicki 06] M. Dumnicki. Reduction method for linear systems of plane curves with base fat points. arXiv:math/0606716, 2006.
  • [González and Karu 16] J. L. González and K. Karu. “Some non-finitely generated Cox rings.” Comp. Math. 1–13 (2016), 2.
  • [Goto et al. 94] S. Goto, K. Nishida, and K.-I. Watanabe. “Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik’s question.” Proc. Am. Math. Soc. 120:2 (1994), 383–392.
  • [Hu and Keel 00] Y. Hu and S. Keel. “Mori dream spaces and GIT.” Michigan Math. J., 48:1 (2000), 331–348.
  • [Hausen et al. 16] J. Hausen, S. Keicher, and A. Laface. On blowing up the weighted projective plane. arXiv:1608.04542, 2016 [math.AG].
  • [Kollár and Mori 08] J. Kollár and S. Mori. Birational Geometry of Algebraic Varieties. Cambridge: Cambridge University Press, 2008.
  • [Lazarsfeld 04] R. K. Lazarsfeld. Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series. New York: Springer, 2004.
  • [Srinivasan 91] H. Srinivasan. “On finite generation of symbolic algebras of monomial primes.” Comm. Algeb. 19:9 (1991), 2557–2564.
  • [Wolfram Research 16] Wolfram Research, Inc. Mathematica 10.4. Champaign, Illinois, 2016. https://www.wolfram.com.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.