On the Variety of Smooth Rational Space Curves with Given Degree and Normal Bundle.
Displaying 281 – 300 of 305
On the variety of special linear systems on an algebraic curve.
C. Keem (1990)
Mathematische Annalen
On torsion points on an elliptic curves via division polynomials.
Ulas, Maciej (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
On translation invariance for Wrd.
Montserrat Teixidar i Bigas (1988)
Journal für die reine und angewandte Mathematik
On triple curves through a rational triple point of a surface
M. R. Gonzalez-Dorrego (2006)
Annales Polonici Mathematici
Let k be an algebraically closed field of characteristic 0. Let C be an irreducible nonsingular curve in ℙⁿ such that 3C = S ∩ F, where S is a hypersurface and F is a surface in ℙⁿ and F has rational triple points. We classify the rational triple points through which such a curve C can pass (Theorem 1.8), and give an example (1.12). We only consider reduced and irreducible surfaces.
On universal elliptic curves over Igusa curves.
D.L. Ulmer (1990)
Inventiones mathematicae
On valued function fields II. Regular functions and elements with the uniqueness property.
B. Green, M. Matignon, F. Pop (1990)
Journal für die reine und angewandte Mathematik
On valued function fields III. Reductions of algebraic curves.
B. Green, M. Matignon, F. Pop (1992)
Journal für die reine und angewandte Mathematik
On vanishing inflection points of plane curves
Mauricio Garay (2002)
Annales de l’institut Fourier
We study the local behaviour of inflection points of families of plane curves in the projective plane. We develop normal forms and versal deformation concepts for holomorphic function germs which take into account the inflection points of the fibres of . We give a classification of such function- germs which is a projective analog of Arnold’s A,D,E classification. We compute the versal deformation with respect to inflections of Morse function-germs.
On x³ + y³ + z³ = 3μxyz and Jacobi polynomials
Kaori Ota (1994)
Acta Arithmetica
On Zariski's theorem in positive characteristic
Ilya Tyomkin (2013)
Journal of the European Mathematical Society
In the current paper we show that the dimension of a family of irreducible reduced curves in a given ample linear system on a toric surface over an algebraically closed field is bounded from above by , where denotes a general curve in the family. This result generalizes a famous theorem of Zariski to the case of positive characteristic. We also explore new phenomena that occur in positive characteristic: We show that the equality does not imply the nodality of even if belongs to the...
One attempt to the modular function - II
Hironori Shiga (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
One-dimensional Hurwitz spaces, modular curves, and real forms of Belyi meromorphic functions.
Costa, Antonio F., Izquierdo, Milagros, Riera, Gonzalo (2008)
International Journal of Mathematics and Mathematical Sciences
One-Dimensional Local Rings with Reduced Associated Graded Ring and Their Hilbert Functions.
Ferruccio Orecchia (1980)
Manuscripta mathematica
Operads and algebraic geometry.
Kapranov, M. (1998)
Documenta Mathematica
Opérateurs différentiels et courbes elliptiques
Patrick Dehornoy (1981)
Compositio Mathematica
Operations of Points on Elliptic Curve in Projective Coordinates
Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama (2012)
Formalized Mathematics
In this article, we formalize operations of points on an elliptic curve over GF(p). Elliptic curve cryptography [7], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security. We prove that the two operations of points: compellProjCo and addellProjCo are unary and binary operations of a point over the elliptic curve.
Optimal degree construction of real algebraic plane nodal curves with prescribed topology. I. The orientable case.
Francisco Santos (1997)
Revista Matemática de la Universidad Complutense de Madrid
We study a constructive method to find an algebraic curve in the real projective plane with a (possibly singular) topological type given in advance. Our method works if the topological model T to be realized has only double singularities and gives an algebraic curve of degree 2N+2K, where N and K are the numbers of double points and connected components of T. This degree is optimal in the sense that for any choice of the numbers N and K there exist models which cannot be realized algebraically with...
Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface (II).
Indranil Biswas (2005)
Collectanea Mathematica
In [6], orbifold G-bundles on a certain class of elliptic fibrations over a smooth complex projective curve X were related to parabolic G-bundles over X. In this continuation of [6] we define and investigate holomorphic connections on an orbifold G-bundle over an elliptic fibration.
Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface.
Indranil Biswas (2003)
Collectanea Mathematica
Let X be a compact Riemann surface and associated to each point p-i of a finite subset S of X is a positive integer m-i. Fix an elliptic curve C. To this data we associate a smooth elliptic surface Z fibered over X. The group C acts on Z with X as the quotient. It is shown that the space of all vector bundles over Z equipped with a lift of the action of C is in bijective correspondence with the space of all parabolic bundles over X with parabolic structure over S and the parabolic weights at any...