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COMPUTATION OF THE GROTHENDIECK AND PICARD GROUPS OF A TORIC DM STACK BY USING A HOMOGENEOUS COORDINATE RING FOR

Published online by Cambridge University Press:  01 September 2010

S. PAUL SMITH
S. PAUL SMITH*
Affiliation:
Department of Mathematics, Box 354350, University of Washington, Seattle, WA 98195, USA e-mail: [email protected]
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Abstract

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We compute the Grothendieck and Picard groups of a smooth toric DM stack by using a suitable category of graded modules over a polynomial ring. The polynomial ring with a suitable grading and suitable irrelevant ideal functions is a homogeneous coordinate ring for the stack.

Keywords

13A0216W5014M2514A2016E2014C22
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 1 , January 2011 , pp. 97 - 113
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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