Differential forms and Hodge numbers for toric complete intersections

Details Differential forms and Hodge numbers for toric complete intersections Differential forms and Hodge numbers for toric complete intersections

2011-06-09

arxiv.org/abs/1106.1826v1

Mathematics

Algebraic Geometry

Scientific paper

We discuss conditions for complete intersections in a toric variety which
allow to compute Hodge numbers if the complete intersection is a quasi-smooth
complete variety. A preliminary step is the computation of the Euler
characteristic of differential forms, we also look at symmetric or arbitrary
forms instead of the usual alternating ones.

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