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math.AG2013
Smooth monomial Togliatti systems of cubics
Mateusz Michałek, Rosa-Maria Miró-Roig
The goal of this paper is to solve the conjecture stated in a paper of Mezzetti, Miró-Roig, Ottaviani and classify all smooth minimal monomial Togliatti systems of cubics. More pre…
math.AG2013★ 26 cited
Secant cumulants and toric geometry
Mateusz Michalek, Luke Oeding, Piotr Zwiernik
We study the secant line variety of the Segre product of projective spaces using special cumulant coordinates adapted for secant varieties. We show that the secant variety is cover…