Ir al contenido

Documat


The osculating cone to special Brill–Noether loci

  • Autores: Michael Hoff, Ulrike Mayer
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 3, 2015, págs. 387-403
  • Idioma: inglés
  • DOI: 10.1007/s13348-015-0146-y
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We describe the osculating cone to Brill–Noether loci W^0_d(C) at smooth isolated points of W^1_d(C) for a general canonically embedded curve C of even genus g=2(d-1). In particular, we show that the canonical curve C is a component of the osculating cone. The proof is based on techniques introduced by George Kempf.

  • Referencias bibliográficas
    • Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of algebraic curves. Vol. I, volume 267 of Grundlehren der Mathematischen...
    • Birkenhake, C., Lange, H.: Complex abelian varieties, volume 302 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles...
    • Ciliberto, C., Sernesi, E.: Singularities of the theta divisor and families of secant spaces to a canonical curve. J. Algebra 171(3), 867–893...
    • Ciliberto, C., Sernesi, E.: On the geometry of canonical curves of odd genus. Commun. Algebra 28(12), 5993–6001 (2000). Special issue in honor...
    • Dalalyan, S.G.: On tetragonal curves. In: Mathematics, No. 3 (Russian), pp. 64–81. Erevan. Univ., Erevan (1985)
    • Griffiths, P., Harris, J.: On the variety of special linear systems on a general algebraic curve. Duke Math. J. 47(1), 233–272 (1980)
    • Gieseker, D.: Stable curves and special divisors: Petri’s conjecture. Invent. Math. 66(2), 251–275 (1982)
    • Grothendieck, A.: Éléments de géométrie algébrique. III. Étude cohomologique des faisceaux cohérents. II. Inst. Hautes Études Sci. Publ. Math....
    • Helgason, S: Differential geometry, Lie groups, and symmetric spaces, volume 34 of Graduate Studies in Mathematics. American Mathematical...
    • Kempf, G.: On the geometry of a theorem of Riemann. Ann. Math. 2(98), 178–185 (1973)
    • Kempf, G.R.: Abelian integrals, volume 13 of Monografías del Instituto de Matemáticas [Monographs of the Institute of Mathematics]. Universidad...
    • Kempf, G.R.: The equations defining a curve of genus 4. Proc. Am. Math. Soc. 97(2), 219–225 (1986)
    • Kempf, G.R., Schreyer, F.-O.: A Torelli theorem for osculating cones to the theta divisor. Compositio Math. 67(3), 343–353 (1988)
    • Mayer, U.: Osculating cones to Brill–Noether loci. Master thesis, Saarland University (2013)
    • Recillas, S.: Jacobians of curves with g^{1}_{4}’s are the Prym’s of trigonal curves. Bol. Soc. Mat. Mexicana (2) 19(1), 9–13 (1974)

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno