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On motivic principal value integrals

Published online by Cambridge University Press:  01 November 2007

WILLEM VEYS
WILLEM VEYS*
Affiliation:
K.U. Leuven, Departement Wiskunde, Celestijnenlaan 200B, B-3001 Leuven, Belgium. email: wim.veys@wis.kuleuven.behttp://www.wis.kuleuven.be/algebra/veys.htm
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Abstract

Inspired by p-adic (and real) principal value integrals, we introduce motivic principal value integrals associated to multi-valued rational differential forms on smooth algebraic varieties. We investigate the natural question whether (for complete varieties) this notion is a birational invariant. The answer seems to be related to the dichotomy of the Minimal Model Program.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 3 , November 2007 , pp. 543 - 555
Copyright
Copyright © Cambridge Philosophical Society 2007

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