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Mirror Symmetry V

Moriko Yui, Shing-Tung Yau, and James D. Lewis, editors
American Mathematical Society/International Press
Publication Date: 
Number of Pages: 
AMS/IP Studies in Advanced Mathematics 38
We do not plan to review this book.

Arithmetic aspects

  • M. J. Bertin -- Mahler's measure and $L$-series of $K$3 hypersurfaces
  • K. Hulek, H. Verrill, and L. V. Dieulefait -- On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces Appendix A. A Modularity Criterion for Integral Galois Representations and Calabi-Yau Threefolds
  • S. Kadir -- Arithmetic mirror symmetry for a two-parameter family of Calabi-Yau manifolds
  • K. Kimura -- A rational map between two threefolds
  • E. Lee -- A modular non-rigid Calabi-Yau threefold
  • M. Lynker and R. Schimmrigk -- Arithmetic of algebraic curves and the affine algebra $A_1^{(1)}$
  • J. Stienstra -- Mahler measure variations, Eisenstein series and instanton expansions
  • J. Stienstra -- Mahler measure, Eisenstein series and dimers
  • D. Wan and C. D. Haessig -- Mirror symmetry for zeta functions with appendix
  • N. Yui and Y. Goto -- The $L$-series of Calabi-Yau orbifolds of CM type Appendix B. The $L$-series of Cubic Hypersurface Fourfolds

Geometric aspects

  • V. Batyrev and M. Kreuzer -- Integral cohomology and mirror symmetry for Calabi-Yau 3-folds
  • X. Chen and J. D. Lewis -- The real regulator for a product of $K$3 surfaces
  • Y. Kawamata -- Derived equivalence for stratified Mukai flop on $G(2,4)$
  • M. Kerr -- A survey of transcendental methods in the study of Chow groups of zero-cycles
  • E. Viehweg and K. Zuo -- Geometry and arithmetic of non-rigid families of Calabi-Yau 3-folds; Questions and examples
  • Y. Zhang -- Some results on families of Calabi-Yau varieties

Differential geometric and mathematical physical aspects

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

Geometric analytic aspects: Picard-Fuchs equations

  • G. Almkvist and W. Zudilin -- Differential equations, mirror maps and zeta values
  • C. F. Doran and J. W. Morgan -- Mirror symmetry and integral variations of Hodge structure underlying one-parameter families of Calabi-Yau threefolds
  • C. van Enckevort and D. van Straten -- Monodromy calculations of fourth order equations of Calabi-Yau type
  • B. Forbes -- Open string mirror maps from Picard-Fuchs equations
  • N. Yui, S.-T. Yau, and J. D. Lewis -- Problems