On the existence of supersingular curves of given genus.
Displaying 181 – 200 of 305
On the existence of Weierstrass points whose first non-gaps are five.
Jiryo Komeda (1992)
Manuscripta mathematica
On the family of cyclic trigonal Riemann surfaces of genus 4 with several trigonal morphisms.
Antonio F. Costa, Milagros Izquierdo, Daniel Ying (2007)
RACSAM
A closed Riemann surface which is a 3-sheeted regular covering of the Riemann sphere is called cyclic trigonal, and such a covering is called a cyclic trigonal morphism. Accola showed that if the genus is greater or equal than 5 the trigonal morphism is unique. Costa-Izquierdo-Ying found a family of cyclic trigonal Riemann surfaces of genus 4 with two trigonal morphisms. In this work we show that this family is the Riemann sphere without three points. We also prove that the Hurwitz space of pairs...
On the field of definition of superspecial polarized abelian varieties and type numbers
Tomoyoshi Ibukiyama, Toshiyuki Katsura (1994)
Compositio Mathematica
On the Gauss maps of space curves in characteristic p
Hajime Kaji (1989)
Compositio Mathematica
On the Gauss maps of space curves in characteristic p, II
Hajime Kaji (1991)
Compositio Mathematica
On the general hyperplane section of a projective curve.
Ballico, E. (1998)
Beiträge zur Algebra und Geometrie
On the generalized theta divisor.
Hein, Georg (1997)
Beiträge zur Algebra und Geometrie
On the Geometrie Genera of Projective Curves.
Allan Tannenbaum (1979)
Mathematische Annalen
On the geometry of algebraic curves having many real components.
J. Huisman (2001)
Revista Matemática Complutense
We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components i.e. on M-curves. We apply to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.
On the geometry of moduli of curves and line bundles
Claudio Fontanari (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Here we focus on the geometry of , the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into and we give generators and relations of the rational Picard group of , extending previous work by A. Kouvidakis.
On the Gieseker-Petri Map for Rank 2 vector bundles.
Montserrat Teixidor i Bigas (1992)
Manuscripta mathematica
On the gonality of curves in
Edoardo Ballico (1997)
Commentationes Mathematicae Universitatis Carolinae
Here we study the gonality of several projective curves which arise in a natural way (e.gċurves with maximal genus in , curves with given degree and genus for all possible , if and with large for arbitrary ).
On the graded Betti numbers for large finite subsets of curves
E. Ballico (1998)
Annales Polonici Mathematici
We prove a recent conjecture of S. Lvovski concerning the periodicity behaviour of top Betti numbers of general finite subsets with large cardinality of an irreducible curve C ⊂ ℙⁿ.
On the graded Betti numbers of plane algebraic curves.
Frank Loose (1989)
Manuscripta mathematica
On the group orders of elliptic curves over finite fields
Everett W. Howe (1993)
Compositio Mathematica
On the height constant for curves of genus two
Michael Stoll (1999)
Acta Arithmetica
On the Hilbert Scheme of Curves in Higher-dimensional Projective Space.
Barbara Fantechi (1996)
Manuscripta mathematica
On the Hilbert Scheme of Curves of Maximal Genus in a Projective Space.
Ciro Ciliberto (1987)
Mathematische Zeitschrift
On the Hodge cycles of Prym varieties
Indranil Biswas (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We show that the Néron–Severi group of the Prym variety for a degree three unramified Galois covering of a hyperelliptic Riemann surface has a distinguished subgroup of rank three. For the general hyperelliptic curve, the algebra of Hodge cycles on the Prym variety is generated by this group of rank three.