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Title of Journal: Geom Dedicata

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Abbravation: Geometriae Dedicata

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Springer Netherlands

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1572-9168

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Deforming Curves in Jacobians to NonJacobians I

Authors: E Izadi
Publish Date: 2005/11/29
Volume: 116, Issue: 1, Pages: 87-109
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Abstract

We introduce deformation theoretic methods for determining when a curve X in a nonhyperelliptic Jacobian JC will deform with JC to a nonJacobian We apply these methods to a particular class of curves in the second symmetric power mathbbC2 of C More precisely given a pencil g d1 of degree d on C let X be the curve parametrizing pairs of points in divisors of g d1 see the paper for the precise schemetheoretical definition We prove that if X deforms infinitesimally out of the Jacobian locus with JC then either d=4 or d=5 dim H° g 51 = 3 and C has genus 4This material is based upon work partially supported by the National Security Agency under Grant No MDA9049810014 and the National Science Foundation under Grant No DMS0071795 Any opinions findings and conclusions or recomendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation NSF or the National Security Agency NSA

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  1. On a class of Dupin hypersurfaces in $$R^5$$ with nonconstant Lie curvature
  2. Ruled quartic surfaces, models and classification
  3. Recovery of the C ∞ jet from the boundary distance function
  4. On the space-filling heptahedra
  5. Length spectra and strata of flat metrics
  6. Criteria for asphericity of polyhedral products: corrigenda to “right-angularity, flag complexes, asphericity”
  7. New open-book decompositions in singularity theory
  8. Extremal behavior of divisibility functions
  9. Burnside problem for measure preserving groups and for 2-groups of toral homeomorphisms
  10. Sur les immeubles triangulaires et leurs automorphismes
  11. Convex equipartitions: the spicy chicken theorem
  12. An asymptotic version of Dumnicki’s algorithm for linear systems in $${\mathbb{CP}^2}$$
  13. Geometry of right-angled Coxeter groups on the Croke–Kleiner spaces
  14. Convex hulls in the hyperbolic space
  15. A characterisation of the Hoffman–Wohlgemuth surfaces in terms of their symmetries
  16. Explicit computation of the Chern character forms
  17. Moduli spaces of quadratic complexes and their singular surfaces
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