Corpus ID: 53494755

Reducible Calabi-Yau threefolds with countably many rational curves

  title={Reducible Calabi-Yau threefolds with countably many rational curves},
  author={Adrian Zahariuc},
  journal={arXiv: Algebraic Geometry},
  • Adrian Zahariuc
  • Published 1 February 2018
  • Mathematics
  • arXiv: Algebraic Geometry
We give a class of examples of reducible (d-semistable) threefolds of CY type with two irreducible components for which (it is reasonably easy to prove that) no family of admissible genus zero stable maps sweeps out a surface, yet such stable maps occur in infinitely many degrees. 


Deformation of Quintic Threefolds to the Chordal Variety
We consider a family of quintic threefolds specializing to a certain reducible threefold. We describe the space of genus zero stable morphisms to the central fiber (as defined by J. Li). As anExpand
A Degeneration Formula of GW-Invariants
This is the second part of the paper "A degeneration of stable morphisms and relative stable morphisms", (math.AG/0009097). In this paper, we constructed the relative Gromov-Witten invariants of aExpand
A geometric application of Nori's connectivity theorem
We study (rational) sweeping out of general hypersurfaces by varieties having small moduli spaces. As a consequence, we show that general K -trivial hypersurfaces are not rationally swept out byExpand
Gluing Schemes and a Scheme Without Closed Points
We flrst construct and give basic properties of a flbered coproduct in the category of ringed spaces (which is just a particular type of colimit). We then look at some special cases where thisExpand
Stable Morphisms to Singular Schemes and Relative Stable Morphisms
On some problems of Kobayashi and Lang; algebraic approaches
0. Introduction 54 1. The analytic setting 59 1.1. Basic results and definitions 59 1.1.1. Definition of the pseudo-metrics/volume forms 59 1.1.2. First properties 61 1.1.3. Brody’s theorem,Expand
Curves on higher-dimensional complex projective manifolds
  • Proc. Int. Cong. Math., Berkeley
  • 1986