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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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All the GIT quotients at once
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by Nicholas Proudfoot PDF
Trans. Amer. Math. Soc. 363 (2011), 1687-1698 Request permission

Abstract:

Let $G$ be an algebraic torus acting on a smooth variety $V$. We study the relationship between the various GIT quotients of $V$ and the symplectic quotient of the cotangent bundle of $V$.
References
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Additional Information
  • Nicholas Proudfoot
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • MR Author ID: 689525
  • Received by editor(s): February 17, 2006
  • Received by editor(s) in revised form: March 23, 2006
  • Published electronically: November 2, 2010
  • Additional Notes: This research was partially supported by a National Science Foundation Postdoctoral Research Fellowship
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 1687-1698
  • MSC (2010): Primary 14L24; Secondary 14L30, 53D20
  • DOI: https://doi.org/10.1090/S0002-9947-2010-05483-2
  • MathSciNet review: 2746660