Irreducible components of Hilbert schemes and application to secant varieties

27 juin 2025, 10:30
20m
Salle de conférence (Nice)

Salle de conférence

Nice

Orateur

Dr Maciej Galazka (Daegu-Gyeongbuk Institute of Science and Technology)

Description

We recall the connection of the Gorenstein loci in the Hilbert scheme of points on a projective variety X with the cactus varieties of X in some embedding. We give an analogous description of cactus varieties of pencils (which correspond to simultaneous rank). We conclude by showing some examples of cactus varieties of pencils which are equal to their corresponding secant varieties.
This is a complementary talk to Klemen Sivic's presentation, and is based on joint work with Hanieh Keneshlou and Klemen Sivic.

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