Theta characteristics of an algebraic curve
نویسندگان
چکیده
منابع مشابه
Theta - Characteristics on Algebraic Curves
The theory of theta-characteristics is developed algebraically, so that it may be applied to possibly singular and/or reducible algebraic curves. The configuration of theta-characteristics on a curve is described in terms of its singularities, with applications to the geometry of plane quartic curves and the problem of Appolonius. Some results on Gorenstein local rings are appended. 0. Introduc...
متن کاملReal Theta Characteristics and Automorphisms of a Real Curve
Let X be a geometrically irreducible smooth projective curve, defined over R, of genus at least two that admits nontrivial automorphisms. Fix a nontrivial automorphism σ of X. Assume that X does not have any real points. Then σ acts trivially on the set of all real theta characteristics of X if and only if X is hyperelliptic with σ being the unique hyperelliptic involution of X. Examples are gi...
متن کاملRegular algebraic curve segments (I) - Definitions and characteristics
Ghandmjit L. Bajaj t Department of Computer Science, Purdue University, West Lafayette, IN 47907 In this paper (part one of a trilogy), we introduce the concept of a discriminating family of regular algebraic curves (real, nonsingular and connected). Several discriminating families are obtained by different characterizations of the zero contours of the Bernstein-Bezier (BB) form of bivariate po...
متن کاملFormal Orthogonality on an Algebraic Curve
Formal orthogonality on an algebraic variety for polynomials is deened and studied. Examples are given. Vector orthogonal polynomials of dimension d are proved to be orthogonal with respect to points on the unit circle.
متن کاملGlobal divisors on an algebraic curve
If L is a field and R a subring of L, we define the lattice Val(L,R) as the lattice generated by symbols VR(s) for s in L with the relations 1. 1 = VR(r) if r is in R 2. VR(s) ∧ VR(t) 6 VR(s+ t) 3. VR(s) ∧ VR(t) 6 VR(st) 4. 1 = VR(s) ∨ VR(s) if s 6= 0 Contrary to the Zariski lattice, we cannot in general simplify an expression VR(s1) ∧ . . . ∧ V (sn) to a single basic open VR(s). Two exceptions...
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 scientifiques de l'École normale supérieure
سال: 1971
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1209