Rational Curves on the Space of Determinantal Nets of Conics
arXiv:math/9802037
Abstract
We describe the Hilbert scheme components parametrizing lines and conics on the space of determinantal nets of conics, N. As an application, we use the quantum Lefschetz hyperplane principle to compute the instanton numbers of rational curves on a complete intersection Calabi-Yau threefold in N. We also compute the number of lines and conics on some Calabi-Yau sections of non-decomposable vector bundles on N. The paper contains a brief summary of the A-model theory leading up to Givental-Kim's quantum Lefschetz hyperplane principle.
LaTex. 58 pages. Doctoral dissertation, defended Oktober 1997 at The University of Bergen, Norway
References in corpus (2)
Cited by in corpus (6)
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- Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians
- Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds
- Quantum cohomology of a Pfaffian Calabi-Yau variety: verifying mirror symmetry predictions
- Quantum Hyperplane Section Theorem For Homogeneous Spaces