Curves, Jacobians, and Abelian Varieties.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Donagi, Ron
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1992.
Colección:Contemporary Mathematics.
Temas:
Curves, Algebraic > Congresses.
Jacobians > Congresses.
Courbes algébriques > Congrès.
Jacobiens > Congrès.
Curves, Algebraic
Jacobians
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Preface""; ""Theta vanishings for some smooth Abelian coverings of Riemann surfaces""; ""The period matrix of Macbeath's curve of genus seven""; ""The continued fraction parameter in the deformation theory of classical Schottky groups""; ""The fibers of the Prym map""; ""Introduction""; ""Â1. Pryms""; ""Â1.1 Pryms and parity""; ""Â1.2 Bilinear and quadratic forms""; ""Â1.3 The Prym maps""; ""Â2. Polygonal constructions""; ""Â2.1 The n-gonal constructions""; ""Â2.2 Orientation""; ""Â2.3 The bigonal construction""; ""Â2.4 The trigonal construction""
  • ""Â2.5 The tetragonal construction""""Â3. Biellpitic Pryms""; ""Â4. Fibers of P : R6 â?? A5""; ""Â4.1 The structure""; ""Â4.2 Special fibers""; ""Â5. Fibers of P : Rs â?? A4""; ""Â5.1 The general fiber""; ""Â5.2 Isotropic subgroups""; ""Â5.3 Proofs""; ""Â5.4 Special fibers""; ""Â6. Other genera""; ""Some Riemann surfaces whose Jacobians have strange product structures""; ""The Schottky relation in genus 4""; ""The trisecant formula and hyperelliptic surfaces""; ""The non-abelian Szego kernel and theta-divisor""; ""Theta functions on the boundary of moduli space""
  • ""Geometery of the fano threefold of degree 10 of the first type""""1. Preliminaries""; ""2. Some elementary incidences, connected with the Schubert calculus on the Grassmannian of the lines in P4""; ""3. The elements of X as three-tangents to the ramification hypersurface R âŠ? P4""; ""4. A description of the conics on X = X10""; ""5. The family L3 of rational normal cubic curves on X""; ""6. The factorfamily L30 as a determinantal variety""; ""7. The families L3 and L30 as zero-schemes""; ""8. Tangent bundle theorem for the family of rational normal cubics L3""
  • 9. Tangent bundle theorem for the family of conics on the Fano threefold X= X10References
  • Some uses of analytic torsion in the study of Weierstrass points
  • A problem of Narasimhan
  • On the reduction of Abelian integrals and a problem of H. Hopf
  • Normalization of the Krichever data
  • Splittable Jacobi varieties
  • Theta divisors for vector bundles

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