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Extremal effective divisors of Brill–Noether and Gieseker–Petri type in

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Published/Copyright: April 16, 2016
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Advances in Geometry
From the journal Advances in Geometry Volume 16 Issue 2

Abstract

We show that certain divisors of Brill-Noether and Gieseker-Petri type span extremal rays of the effective cone in the moduli space of stable genus one curves with n ordered marked points. In particular, they are different from the infinitely many extremal rays found in [3].

Keywords: Divisor; stable genus one curve; moduli space
Received: 2014-7-31
Revised: 2014-10-2
Published Online: 2016-4-16
Published in Print: 2016-4-1

© 2016 by Walter de Gruyter Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Cycles in Jacobians: infinitesimal results
  3. Totally isotropic subspaces of small height in quadratic spaces
  4. Generalized geometry of pseudo-Riemannian manifolds and the generalized ∂̅-operator
  5. Homogeneous geodesics in pseudo-Riemannian nilmanifolds
  6. Generalized distance-squared mappings of the plane into the plane
  7. Stable hypersurfaces in spheres with constant scalar curvature
  8. On the axioms for Sabinin algebras
  9. Extremal effective divisors of Brill–Noether and Gieseker–Petri type in
  10. On spherical submanifolds with finite type spherical Gauss map
  11. The second largest Erdős–Ko–Rado sets of generators of the hyperbolic quadrics Q+(4n + 1, q)
https://doi.org/10.1515/advgeom-2016-0002
Keywords for this article
Divisor; stable genus one curve; moduli space

Articles in the same Issue

  1. Frontmatter
  2. Cycles in Jacobians: infinitesimal results
  3. Totally isotropic subspaces of small height in quadratic spaces
  4. Generalized geometry of pseudo-Riemannian manifolds and the generalized ∂̅-operator
  5. Homogeneous geodesics in pseudo-Riemannian nilmanifolds
  6. Generalized distance-squared mappings of the plane into the plane
  7. Stable hypersurfaces in spheres with constant scalar curvature
  8. On the axioms for Sabinin algebras
  9. Extremal effective divisors of Brill–Noether and Gieseker–Petri type in
  10. On spherical submanifolds with finite type spherical Gauss map
  11. The second largest Erdős–Ko–Rado sets of generators of the hyperbolic quadrics Q+(4n + 1, q)
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