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.
منابع مشابه
CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES
In this paper, characterizations of the degree to which a mapping $mathcal{T} : L^{X}longrightarrow M$ is an $(L, M)$-fuzzy topology are studied in detail.What is more, the degree to which an $L$-subset is an $L$-open set with respect to $mathcal{T}$ is introduced.Based on that, the degrees to which a mapping $f: Xlongrightarrow Y$ is continuous,open, closed or a quotient mapping with respect t...
متن کاملDegrees of Efficiency and Degrees of Minimality
In this work we characterize different types of solutions of a vector optimization problem by means of a scalarization procedure. Usually different scalarizing functions are used in order to obtain the various solutions of the vector problem. Here we consider different kinds of solutions of the same scalarized problem. Our results allow us to establish a parallelism between the solutions of the...
متن کاملAFFINE SUBGROUPS OF THE CLASSICAL GROUPS AND THEIR CHARACTER DEGREES
In this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. In [4] Gow obtained certain character degrees for all of the affine subgroups of the classical groups. We apply the method of Fischer to the above groups and, in addition to the character degrees given in [4], we obtain some ne...
متن کاملDegrees of Freedom in Adaptive Modulation: A Uni ed View
We examine adaptive modulation schemes for at-fading channels where the data rate, transmit power, and instantaneous BER are varied to maximize spectral e ciency, subject to an average power and BER constraint. Both continuous-rate and discrete-rate adaptation are considered, as well as average and instantaneous BER constraints. We nd that for a large class of modulation techniques and fading d...
متن کاملDegrees of Truth, Degrees of Falsity
In this paper I recall the reasons in favour of extending the classical conception of truth to include degrees of truth as well as truth value gaps and gluts, then provide a sketch of a new system of logic that provides all of these simultaneously. Despite its power, the resulting system is quite simple, combining degrees of truth and degrees of falsity to provide a very flexible and elegant co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2021
ISSN: ['1090-2074', '0196-8858']
DOI: https://doi.org/10.1016/j.aam.2021.102242