On $(h,s)$-tangential weak defectiveness and identifiability of some projective varieties

Abstract: In this talk, I will present a new technique to study the problem of weak defectiveness using degenerations of tangent linear spaces to osculating linear spaces. I also will present a result on tangential weak defectiveness for varieties admitting a fibration with a linearly embedded $\mathbb{P}^1$ as general fiber and apply it to obtain a sharp asymptotic bound for non secant defectiveness of Segre varieties.

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

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Previous talks available at the YouTube channel "Brazilian Algebraic Geometry" www.youtube.com/channel/UCM-pcdNdpWxQFgOg-illE2w