Equivariant Todd Classes for Toric Varieties

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

For a complete toric variety, we obtain an explicit formula for the localized
equivariant Todd class in terms of the combinatorial data -- the fan. This is
based on the equivariant Riemann-Roch theorem and the computation of the
equivariant cohomology and equivariant homology of toric varieties.

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