A Torelli type theorem for exp-algebraic curves
نویسندگان
چکیده
منابع مشابه
A Torelli-like Theorem for Smooth Plane Curves
The Information-Theoretic Schottky Problem treats the period matrix of a compact Riemann Surface as a compressible signal. In this case, the period matrix of a smooth plane curve is characterized by only 4 of its columns, a significant compression.
متن کاملClifford Theorem for real algebraic curves
In this note, a real algebraic curve X is a smooth proper geometrically integral scheme over R of dimension 1. A closed point P of X will be called a real point if the residue field at P is R, and a non-real point if the residue field at P is C. The set of real points, X(R), will always be assumed to be non empty. It decomposes into finitely many connected components, whose number will be denot...
متن کاملA Picard type theorem for holomorphic curves∗
Let P be complex projective space of dimension m, π : Cm+1\{0} → P the standard projection and M ⊂ P a closed subset (with respect to the usual topology of a real manifold of dimension 2m). A hypersurface in P is the projection of the set of zeros of a non-constant homogeneous form in m+ 1 variables. Let n be a positive integer. Consider a set of hypersurfaces {Hj} j=1 with the property M ∩ ⋂...
متن کاملA Torelli Type Theorem for the Moduli Space of Parabolic Vector Bundles of Rank Two over Curves
Let S (respectively, S 0) be a nite subset of a compact connected Riemann surface X (respectively, X 0) of genus at least two. Let M (respectively, M 0) denote a moduli space of parabolic stable bundles of rank two over X (respectively, X 0) with xed determinant of degree one, having a nontrivial quasi-parabolic structure over each point of S (respectively, S 0), and of parabolic degree less th...
متن کاملLaudal Type Theorems for Algebraic Curves
Laudal’s Lemma states that if C is an integral curve in P3 of degree d > s2 + 1 and Z is its general plane section, then C is contained in a surface of degree s provided that Z is contained in a curve of degree s. The aim of this paper is to extend Laudal’s Lemma to possibly reducible curves proving that, under the unavoidable hypothesis that the Hilbert function of the generic plane section is...
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: Annales de la Faculté des sciences de Toulouse : Mathématiques
سال: 2020
ISSN: 2258-7519
DOI: 10.5802/afst.1634