Cocycles on tropical varieties via piecewise polynomials

Francois, Georges

doi:10.1090/S0002-9939-2012-11359-0

Cocycles on tropical varieties via piecewise polynomials
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by Georges Francois PDF

Proc. Amer. Math. Soc. 141 (2013), 481-497 Request permission

Abstract:

We use piecewise polynomials to define tropical cocycles generalising the well-known notion of tropical Cartier divisors to higher codimensions. Groups of cocycles are tropical analogues of Chow cohomology groups. We also introduce an intersection product of cocycles with tropical cycles (the counterpart of the classical cap product) and prove that this gives rise to a Poincaré duality in some cases.

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