Newton nondegenerate Weil divisors in toric varieties

Baldur Sigurðsson
UNAM in Cuernavaca, Mexico

Date(s) : 17/06/2021   iCal
14 h 00 min - 15 h 00 min

We introduce Newton nondegenerate Weil divisors in toric affine varieties and present formulas for their geometric genus, canonical divisors, and provide conditions on their Newton polyhedron to be Gorenstein. We prove that if such a Weil divisor of dimension 2 is normal and Gorenstein, and the link is a rational homology sphere, then the geometric genus is given by the minimal path cohomology, a topological invariant.

This is joint work with András Némethi.




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