Calabi-Yau-threefolds with Picard number $\rho(X)=2$ and their Kaehler cone I

Marco Kuehnel

Calabi-Yau-threefolds with Picard number $\rho(X)=2$ and their Kaehler cone I

Algebraic Geometry 2007-05-23 v1

Authors: Marco Kuehnel

Abstract

We describe properties of the K\"ahler cone of general Calabi-Yau-threefolds with Picard number $\rho(X)=2$ and prove the rationality of the K\"ahler cone, if $X$ is a Calabi-Yau-hypersurface in a ${\mathbb P}^2$ -bundle over ${\mathbb P}^2$ and $c_3(X)\le -54$ . Without the latter assumption we prove the positivity of $c_2(X)$ .

Keywords

calabi-yau threefold picard number kahler cone rationality positivity hypersurface

Cite

@article{arxiv.math/0110054,
  title  = {Calabi-Yau-threefolds with Picard number $\rho(X)=2$ and their Kaehler cone I},
  author = {Marco Kuehnel},
  journal= {arXiv preprint arXiv:math/0110054},
  year   = {2007}
}

Comments

21 pages

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