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COMPUTATION OF THE GROTHENDIECK AND PICARD GROUPS OF A TORIC DM STACK ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20160202062049854-0376:S001708951000056X_char1.gif?pub-status=live)
BY USING A HOMOGENEOUS COORDINATE RING FOR ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20160202062049854-0376:S001708951000056X_char1.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20160202062049854-0376:S001708951000056X_char1.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20160202062049854-0376:S001708951000056X_char1.gif?pub-status=live)
Published online by Cambridge University Press: 01 September 2010
Abstract
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.
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- Copyright © Glasgow Mathematical Journal Trust 2010
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