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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Toric Hirzebruch-Riemann-Roch via Ishida’s theorem on the Todd genus
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by Hal Schenck PDF
Proc. Amer. Math. Soc. 141 (2013), 1215-1217 Request permission

Abstract:

We give a simple proof of the Hirzebruch-Riemann-Roch theorem for smooth complete toric varieties, based on Ishida’s result that the Todd genus of a smooth complete toric variety is one.
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Additional Information
  • Hal Schenck
  • Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
  • MR Author ID: 621581
  • Email: schenck@math.uiuc.edu
  • Received by editor(s): August 18, 2011
  • Published electronically: August 29, 2012
  • Additional Notes: The author was supported by NSF grant No. 1068754 and by NSA grant No. H98230-11-1-0170
  • Communicated by: Irena Peeva
  • © Copyright 2012 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 1215-1217
  • MSC (2010): Primary 14M25, 14C40
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11413-3
  • MathSciNet review: 3008869