Algebra and Geometry online seminar 16/04

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Friday, April 16th at 10:30, Elisa Postinghel (University of Trento)

Weyl cycles on blow-ups of projective 4-spaces

I will introduce the definition of Weyl cycles on the blow-up X of P^n in a collection of points in general position. These are irreducible components of the intersection of pairwise orthogonal effective divisors on X that live in the Weyl orbit of exceptional divisors, where the orthogonality is taken with respect to a Dolgachev-Mukai pairing on the Picard group of X. In the case where X is a Mori dream space of dimension four or less, we can describe the geometry of and classify these objects. I will also explain how this relates to certain polynomial interpolation problems.
This is joint work with M. C. Brambilla and O. Dumitrescu

The seminar will take place online. Click here for the Zoom link.

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Ultimo aggiornamento: 07-04-2021 - 12:12