Mirror symmetry and projective geometry of Reye congruences I

Shinobu Hosono; Hiromichi Takagi

Mirror symmetry and projective geometry of Reye congruences I

Algebraic Geometry 2012-07-03 v2

Authors: Shinobu Hosono , Hiromichi Takagi

Abstract

Studying the mirror symmetry of a Calabi-Yau threefold $X$ of the Reye congruence in $\mP^4$ , we conjecture that $X$ has a non-trivial Fourier-Mukai partner $Y$ . We construct $Y$ as the double cover of a determinantal quintic in $\mP^4$ branched over a curve. We also calculate BPS numbers of both $X$ and $Y$ (and also a related Calabi-Yau complete intersection $\tilde X_0$ ) using mirror symmetry.

Keywords

mirror symmetry Calabi-Yau threefold Reye congruence Fourier-Mukai partner determinantal quintic BPS numbers

Cite

@article{arxiv.1101.2746,
  title  = {Mirror symmetry and projective geometry of Reye congruences I},
  author = {Shinobu Hosono and Hiromichi Takagi},
  journal= {arXiv preprint arXiv:1101.2746},
  year   = {2012}
}

Comments

27 pages, typos corrected, minor changes, to appear in J.Alg.Geom

Mirror symmetry and projective geometry of Reye congruences I

Abstract

Keywords

Cite

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