Collineation varieties of tensors

par Fulvio Gesmundo

lundi 20 nov. 2023, 13:30 → 14:30 Europe/Paris

Salle Picard

A linear space of matrices gives rise naturally to a family of algebraic varieties: the k-th collineation variety arises from the parametrization induced by the minors of size k. We propose the study of collineation varieties to obtain `equations' for interesting varieties in the space of tensors. In particular, I will show to what extent the collineation varieties, and their geometric invariants (e.g. their degree) separate orbit-closures in the case of tensors of small dimension. This is part of joint work with Hanieh Keneshlou.