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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Perspectives on scissors congruence
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by Inna Zakharevich PDF
Bull. Amer. Math. Soc. 53 (2016), 269-294 Request permission

Abstract:

In this paper we give a short introduction to the different theories of scissors congruence. We begin with classical scissors congruence, which considers equivalence classes of polyhedra under dissection. We then move to multi-dimensional scissors congruence along the lines of McMullen’s polytope algebra and then to the Grothendieck ring of varieties. Tying our discussion together is the question of whether algebraic invariants are sufficient to distinguish scissors congruence classes.
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Additional Information
  • Inna Zakharevich
  • Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois
  • MR Author ID: 798419
  • Received by editor(s): October 2, 2015
  • Published electronically: January 25, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 53 (2016), 269-294
  • MSC (2010): Primary 52B45
  • DOI: https://doi.org/10.1090/bull/1527
  • MathSciNet review: 3474308