On tangential weak defectiveness and identifiability of projective varieties
نویسندگان
چکیده
A point $p\in\mathbb{P}^N$ of a projective space is $h$-identifiable, with respect to variety $X\subset\mathbb{P}^N$, if it can be written as linear combination $h$ elements $X$ in unique way. Identifiability implied by conditions on the contact locus general spaces called non weak defectiveness and tangential defectiveness. We give ensuring an irreducible non-degenerated we apply these results Segre-Veronese varieties.
منابع مشابه
On Tangential Varieties of Rational Homogeneous Varieties
We determine which tangential varieties of homogeneously embedded rational homogeneous varieties are spherical. We determine the homogeneous coordinate rings and rings of covariants of the tangential varieties of homogenously embedded compact Hermitian symmetric spaces (CHSS). We give bounds on the degrees of generators of the ideals of tangential varieties of CHSS and obtain more explicit info...
متن کاملLines on Projective Varieties
I prove two theorems: Let X ⊂ P be a hypersurface and let x ∈ X be a general point. If the set of lines having contact to order k with X at x is of dimension greater than expected, then the lines having contact to order k are actually contained in X. A variety X is said to be covered by lines if there exist a finite number of lines in X passing through a general point. Let X ⊂ P be a variety co...
متن کاملDiophantine Inequalities on Projective Varieties
then the set of solutions of (1.1) lies in the union of finitely many proper linear subspaces of P. We give an equivalent formulation on which we shall focus in this paper. Let {l0, . . . , lN} be the union of the sets {l0v, . . . , lnv} (v ∈ S). Define the map φ : P → P by y 7→ ( l0(y) : · · · : lN(y) ) . Put X := φ(P); then X is a linear subvariety of P of dimension n defined over K. Write xi...
متن کاملOn the Isotriviality of Projective Iterative ∂-varieties
We study algebraic varieties X over a universal iterative differential field (K, ∂) (typically of positive characteristic), together with an extension of ∂ to an iterative derivation D of the structure sheaf of X. Our work is motivated by the conjecture that if X is projective then the pair (X,D) is isotrivial, namely isomorphic over K to a pair (Y, D0) where Y is defined over the constants C o...
متن کاملOn a family of projective toric varieties
By means of suitable sequences of graphs, in a previous paper, we have studied the reduced lexicographic Gröbner bases of a family of homogeneous toric ideals. In this paper, we deepen the analysis of those bases and derive some geometric properties of the corresponding projective toric varieties.
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: Annali della Scuola normale superiore di Pisa. Classe di scienze
سال: 2021
ISSN: ['0391-173X', '2036-2145']
DOI: https://doi.org/10.2422/2036-2145.202003_001