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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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The $K$-theory of toric varieties
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by G. Cortiñas, C. Haesemeyer, Mark E. Walker and C. Weibel PDF
Trans. Amer. Math. Soc. 361 (2009), 3325-3341 Request permission

Abstract:

Recent advances in computational techniques for $K$-theory allow us to describe the $K$-theory of toric varieties in terms of the $K$-theory of fields and simple cohomological data.
References
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Additional Information
  • G. Cortiñas
  • Affiliation: Departamento de Matemática, FCEyN-UBA, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina – and – Departamento Álgebra, Fac. de Ciencias, Prado de la Magdalena s/n, 47005 Valladolid, Spain
  • MR Author ID: 18832
  • ORCID: 0000-0002-8103-1831
  • Email: gcorti@dm.uba.ar
  • C. Haesemeyer
  • Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
  • Address at time of publication: Department of Mathematics, University of California, Los Angeles, Box 95155, Los Angeles, California 90095-1555
  • MR Author ID: 773007
  • Email: chh@math.uiuc.edu, chh@math.ucla.edu
  • Mark E. Walker
  • Affiliation: Department of Mathematics, University of Nebraska, Lincoln, Lincoln, Nebraska 68588-0130
  • Email: mwalker5@math.unl.edu
  • C. Weibel
  • Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08901
  • MR Author ID: 181325
  • Email: weibel@math.rutgers.edu
  • Received by editor(s): September 14, 2007
  • Published electronically: December 31, 2008
  • Additional Notes: The first author’s research was partially supported by FSE and by grants ANPCyT PICT 03-12330, UBACyT-X294, JCyL VA091A05, and MEC MTM00958.
    The third author’s research was supported by NSF grant DMS-0601666.
    The fourth author’s research was supported by NSA grant MSPF-04G-184 and the Oswald Veblen Fund
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 361 (2009), 3325-3341
  • MSC (2000): Primary 19D55, 14M25, 19D25
  • DOI: https://doi.org/10.1090/S0002-9947-08-04750-8
  • MathSciNet review: 2485429