On motivic principal value integrals

Details On motivic principal value integrals On motivic principal value integrals

2006-04-07

arxiv.org/abs/math/0604167v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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.

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