Asymptotics of degrees and ED degrees of Segre products

نویسندگان

چکیده

Two fundamental invariants attached to a projective variety are its classical algebraic degree and Euclidean Distance (ED degree). In this paper, we study the asymptotic behavior of these two degrees some Segre products their dual varieties. We analyze asymptotics (hypercubical) hyperdeterminants, hypersurfaces offer an alternative viewpoint on stabilization ED Although phenomenon was incidentally known from Friedland-Ottaviani's formula expressing number singular vector tuples general tensor, our approach provides geometric explanation. Finally, establish product $X\times Q_{n}$, where $X$ is $Q_n\subset \mathbb{P}^{n+1}$ smooth quadric hypersurface.

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ژورنال

عنوان ژورنال: Advances in Applied Mathematics

سال: 2021

ISSN: ['1090-2074', '0196-8858']

DOI: https://doi.org/10.1016/j.aam.2021.102242