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# Mirror Symmetry V

### About this Title

**Noriko Yui**, *Queen’s University, Kingston, ON, Canada*, **Shing-Tung Yau**, *Harvard University, Cambridge, MA* and **James D. Lewis**, *University of Alberta, Edmonton, AB, Canada*, Editors

Publication: AMS/IP Studies in Advanced Mathematics

Publication Year:
2006; Volume 38

ISBNs: 978-0-8218-4251-5 (print); 978-1-4704-3827-2 (online)

DOI: https://doi.org/10.1090/amsip/038

MathSciNet review: MR2282005

MSC: Primary 14-06; Secondary 11-06

### Table of Contents

**Front/Back Matter**

**Arithmetic aspects **

- Mahler’s measure and $L$-series of $K$3 hypersurfaces
- On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces Appendix A. A Modularity Criterion for Integral Galois Representations and Calabi-Yau Threefolds
- Arithmetic mirror symmetry for a two-parameter family of Calabi-Yau manifolds
- A rational map between two threefolds
- A modular non-rigid Calabi-Yau threefold
- Arithmetic of algebraic curves and the affine algebra $A_1^{(1)}$
- Mahler measure variations, Eisenstein series and instanton expansions
- Mahler measure, Eisenstein series and dimers
- Mirror symmetry for zeta functions with appendix
- The $L$-series of Calabi-Yau orbifolds of CM type Appendix B. The $L$-series of Cubic Hypersurface Fourfolds

**Geometric aspects **

- Integral cohomology and mirror symmetry for Calabi-Yau 3-folds
- The real regulator for a product of $K$3 surfaces
- Derived equivalence for stratified Mukai flop on $G(2,4)$
- A survey of transcendental methods in the study of Chow groups of zero-cycles
- Geometry and arithmetic of non-rigid families of Calabi-Yau 3-folds; Questions and examples
- Some results on families of Calabi-Yau varieties

**Differential geometric and mathematical physical aspects **

- Boundary RG flows of $\mathcal {N}=2$ minimal models
- Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
- Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW-invariants of pairs
- Generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties II

**Geometric analytic aspects: Picard-Fuchs equations **