English

On K3 fibered Calabi-Yau 3-folds

Algebraic Geometry 2011-01-18 v2 Mathematical Physics math.MP

Abstract

Given X a K3 surface, a mirror dual to X can be identified with a component of the moduli space of semistable sheaves on X. We consider fibrations by K3 surfaces over a one dimensional base that are Calabi-Yau and we obtain a dual fibration that turns to be derived equivalent to the original one and we relate the problem to mirror symmetry.

Keywords

Cite

@article{arxiv.1101.2772,
  title  = {On K3 fibered Calabi-Yau 3-folds},
  author = {Elena Andreini and Cristina Martinez and Andrey Todorov},
  journal= {arXiv preprint arXiv:1101.2772},
  year   = {2011}
}

Comments

This paper has been withdrawn by the author due to an error