Linear pencils on real algebraic curves
نویسندگان
چکیده
منابع مشابه
Real Plane Algebraic Curves
We study real algebraic plane curves, at an elementary level, using as little algebra as possible. Both cases, affine and projective, are addressed. A real curve is infinite, finite or empty according to the fact that a minimal polynomial for the curve is indefinite, semi–definite nondefinite or definite. We present a discussion about isolated points. By means of the operator, these points can ...
متن کاملSums of Squares on Real Algebraic Curves
Given an affine algebraic variety V over R with compact set V (R) of real points, and a non-negative polynomial function f ∈ R[V ] with finitely many real zeros, we establish a local-global criterion for f to be a sum of squares in R[V ]. We then specialize to the case where V is a curve. The notion of virtual compactness is introduced, and it is shown that in the localglobal principle, compact...
متن کاملVery special divisors on real algebraic curves
We study special linear systems called “very special” whose dimension does not satisfy a Clifford type inequality given by Huisman. We classify all these very special linear systems when they are compounded of an involution. Examples of very special linear systems that are simple are also given.
متن کاملOn Meromorphic Parameterizations of Real Algebraic Curves
A singular flat geometry may be canonically assigned to a real algebraic curve Γ; namely, via analytic continuation of unit speed parameterization of the real locus ΓR. Globally, the metric ρ = |Q| = |q(z)|dzdz̄ is given by the meromorphic quadratic differential Q on Γ induced by the standard complex form dx + dy on C = {(x, y)}. By considering basic properties of Q, we show that the condition f...
متن کاملReal Parametrization of Algebraic Curves
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization. Optimality criteria such as low degrees in the parametrization or low degree field extensions are met by some parametrization algorithms. In this paper we investigate real curves. Given a parametrizable plane curve ov...
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: Journal of Pure and Applied Algebra
سال: 2010
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2009.08.013