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Adresses

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Groupe de travail

Newton nondegenerate Weil divisors in toric varieties

Baldur Sigurðsson
UNAM in Cuernavaca, Mexico
https://notendur.hi.is/bas4/

Date(s) : 17/06/2021   iCal
14h00 - 15h00

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.

https://arxiv.org/abs/2102.02948

 

 

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