• Corpus ID: 118563050

The mirror quintic as a quintic

@article{Meyer2005TheMQ,
  title={The mirror quintic as a quintic},
  author={Chris Meyer},
  journal={arXiv: Algebraic Geometry},
  year={2005}
}
  • C. Meyer
  • Published 16 March 2005
  • Mathematics
  • arXiv: Algebraic Geometry
The general quintic hypersurface in ${\mathbb P}^4$ is the most famous example of a Calabi--Yau threefold for which mirror symmetry has been investigated in detail. There is a description of the mirror as a hypersurface in a certain weighted projective space. In this note we present a model for the mirror which is again (the resolution of) a quintic hypersurface in ${\mathbb P}^4$. We also deal with the special members in the respective families. They lead to rigid Calabi--Yau threefolds with… 

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References

SHOWING 1-10 OF 14 REFERENCES

Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians

We give a mathematical account of a recent string theory calcula- tion which predicts the number of rational curves on the generic quintic three- fold. Our account involves the interpretation of

Calabi-Yau manifolds over finite fields. 1.

We study zeta-functions for a one parameter family of quintic threefolds defined over finite fields and for their mirror manifolds and comment on their structure. The zeta-function for the quintic

Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties

We formulate general conjectures about the relationship between the A-model connection on the cohomology of ad-dimensional Calabi-Yau complete intersectionV ofr hypersurfacesV1,...,Vr in a toric

On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle.

ly G is isomorphic to a semi-direct product of the Symmetrie group on 5 elements with the normal subgroup (Z/5Z). Let N denote, s in [12], the group of symmetries of the Mumford-Horrocks vector b

Lines on Calabi Yau complete intersections, mirror symmetry, and Picard Fuchs equations

A relation between the number of rational curves of fixed degree on Calabi Yau threefolds and the Picard Fuchs equations, which was suggested as part of the study of mirror symmetry, is verified in

Mirror symmetry and algebraic geometry

Introduction The quintic threefold Toric geometry Mirror symmetry constructions Hodge theory and Yukawa couplings Moduli spaces Gromov-Witten invariants Quantum cohomology Localization Quantum

Auflösungen spezieller dreidimensionaler Varietäten

  • Bonner mathematische Schriften
  • 1987

A dictionary of modular threefolds, thesis

  • 2005