Mirror symmetry V. Proceedings of the BIRS workshop on Calabi-Yau varieties and mirror symmetry, December 6–11, 2003.(English)Zbl 1104.14001

AMS/IP Studies in Advanced Mathematics 38. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 0-8218-4251-X/pbk). x, 576 p. (2006).
The articles of this volume will be reviewed individually. The preceding workshop (2001) has been reviewed (see Zbl 1022.00014).
Indexed articles:
Bertin, Marie José, Mahler’s measure and $$L$$-series of $$K3$$ hypersurfaces, 3-18 [Zbl 1124.11030]
Hulek, K.; Verrill, H., On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces. With an appendix by L. V. Dieulefait, 19-34 [Zbl 1115.14031]
Kadir, Shabnam, Arithmetic mirror symmetry for a two-parameter family of Calabi-Yau manifolds, 35-86 [Zbl 1116.14036]
Kimura, Kenichiro, A rational map between two threefolds, 87-88 [Zbl 1112.14018]
Lee, Edward, A modular non-rigid Calabi-Yau threefold, 89-122 [Zbl 1119.14037]
Lynker, Monika; Schimmrigk, Rolf, Arithmetic of algebraic curves and the affine algebra $$A_1^{(1)}$$, 123-137 [Zbl 1234.11054]
Stienstra, Jan, Mahler measure variations, Eisenstein series and instanton expansions, 139-150 [Zbl 1118.11047]
Stienstra, Jan, Mahler measure, Eisenstein series and dimers, 151-158 [Zbl 1118.11048]
Wan, Daqing, Mirror symmetry for zeta functions, 159-184 [Zbl 1116.11044]
Yui, Noriko, The $$L$$-series of Calabi-Yau orbifolds of CM type, 185-238 [Zbl 1123.14023]
Goto, Yasuhiro, Appendix B. The $$L$$-series of cubic hypersurface fourfolds, 239-252 [Zbl 1114.14014]
Batyrev, Victor; Kreuzer, Maximilian, Integral cohomology and mirror symmetry for Calabi-Yau 3-folds, 255-270 [Zbl 1116.14033]
Chen, Xi; Lewis, James D., The real regulator for a product of $$K3$$ surfaces, 271-283 [Zbl 1116.14004]
Kawamata, Yujiro, Derived equivalence for stratified Mukai flop on $$G(2,4)$$, 285-294 [Zbl 1137.14305]
Kerr, Matt, A survey of transcendental methods in the study of Chow groups of zero-cycles, 295-349 [Zbl 1118.14008]
Viehweg, Eckart; Zuo, Kang, Geometry and arithmetic of non-rigid families of Calabi-Yau 3-folds: questions and examples, 351-360 [Zbl 1116.14006]
Zhang, Yi, Some results on families of Calabi-Yau varieties, 361-378 [Zbl 1119.14035]
Hori, Kentaro, Boundary RG flows of $$N=2$$ minimal models, 381-404 [Zbl 1114.81071]
Hosono, Shinobu, Central charges, symplectic forms, and hypergeometric series in local mirror symmetry, 405-439 [Zbl 1114.14025]
Liu, Chien-Hao; Yau, Shing-Tung, Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW-invariants of pairs, 441-456 [Zbl 1117.14054]
Ruan, Wei-Dong, Generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties. II, 457-477 [Zbl 1140.14038]
Almkvist, Gert; Zudilin, Wadim, Differential equations, mirror maps and zeta values, 481-515 [Zbl 1118.14043]
Doran, Charles F.; Morgan, John W., Mirror symmetry and integral variations of Hodge structure underlying one-parameter families of Calabi-Yau threefolds, 517-537 [Zbl 1116.14005]
van Enckevort, Christian; van Straten, Duco, Monodromy calculations of fourth order equations of Calabi-Yau type, 539-559 [Zbl 1117.14043]
Forbes, Brian, Open string mirror maps from Picard-Fuchs equations, 561-576 [Zbl 1116.14046]

MSC:

 14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry 00B25 Proceedings of conferences of miscellaneous specific interest 32-06 Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces 14J32 Calabi-Yau manifolds (algebro-geometric aspects) 14J81 Relationships between surfaces, higher-dimensional varieties, and physics 32Q25 Calabi-Yau theory (complex-analytic aspects) 32J81 Applications of compact analytic spaces to the sciences 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

Zbl 1022.00014