Not Available:Calabi-yau Varieties and Mirror Symmetry (English) Hardcover Book
- hardcover ISBN: 9780821833551
Format Hardcover. Language English. We've got this. US Release Date 2003-09-30. Audience Professional & Vocational. Publication Date 2003-09-30. Illustrations Illustrations. UK Release Da… More...
Format Hardcover. Language English. We've got this. US Release Date 2003-09-30. Audience Professional & Vocational. Publication Date 2003-09-30. Illustrations Illustrations. UK Release Date 2003-09-01. The Nile on eBay FREE SHIPPING UK WIDE Calabi-yau Varieties and Mirror Symmetry The idea of mirror symmetry originated in physics, but the field has exploded onto the mathematical scene. It has inspired many developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. This title contains articles that report on developments in the field. FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularity conjecture for Calabi-Yau threefolds defined over the rationals, the Bloch-Beilinson conjectures, regulator maps of higher algebraic cycles, Picard-Fuchs differential equations, GKZ hypergeometric systems, and others. The articles in this volume report on current developments. The papers are divided roughly into two categories: geometric methods and arithmetic methods.One of the significant outcomes of the workshop is that we are finally beginning to understand the mirror symmetry phenomenon from the arithmetic point of view, namely, in terms of zeta-functions and L-series of mirror pairs of Calabi-Yau threefolds. The book is suitable for researchers interested in mirror symmetry and string theory. Table of Contents Geometric methods: Mixed toric residues and Calabi-Yau complete intersections by V. V. Batyrev and E. N. Materov Crepant resolutions of $\mathbb{C}^n/A_1(n)$ and flops of $n$-folders for $n=4,5$ by L. Chiang and S.-s. Roan Picard-Fuchs equations, integrable systems and higher algebraic K-theory by P. L. del Angel and S. Muller-Stach Counting BPS states via holomorphic anomaly equations by S. Hosono Regulators of Chow cycles on Calabi-Yau varieties by J. D. Lewis Arithmetic methods: Calabi-Yau manifolds over finite fields, II by P. Candelas, X. de la Ossa, and F. Rodriguez-Villegas Modularity of rigid Calabi-Yau threefolds over $\mathbb{Q}$ by L. Dieulefait and J. Manoharmayum $K3$ surfaces with symplectic group actions by Y. Goto Birational smooth minimal models have equal Hodge numbers in all dimensions by T. Ito The $n$th root of the mirror map by B. H. Lian and S.-T. Yau On a Shioda-Inose structure of a family of K3 surfaces by L. Long Black hole attractor varieties and complex multiplication by M. Lynker, V. Periwal, and R. Schimmrigk Hypergeometric families of Calabi-Yau manifolds by F. Rodriguez-Villegas Aspects of conformal field theory from Calabi-Yau arithmetic by R. Schimmrigk Ordinary Calabi-Yau-3 crystals by J. Stienstra The ordinary limit for varieties over $\mathbb{Z}[x_1,\ldots,x_r]$ by J. Stienstra Update on the modularity of Calabi-Yau varieties with appendix by Helena Verrill by N. Yui Problems by N. Yui and J. D. Lewis. Long Description The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularity conjecture for Calabi-Yau threefolds defined over the rationals, the Bloch-Beilinson conjectures, regulator maps of higher algebraic cycles, Picard-Fuchs differential equations, GKZ hypergeometric systems, and others. The articles in this volume report on current developments. The papers are divided roughly into two categories: geometric methods and arithmetic methods. One of the significant outcomes of the workshop is that we are finally beginning to understand the mirror symmetry phenomenon from the arithmetic point of view, namely, in terms of zeta-functions and L-series of mirror pairs of Calabi-Yau threefolds. The book is suitable for researchers interested in mirror symmetry and string theory. Details ISBN0821833553 Pages 367 Publisher American Mathematical Society Year 2003 ISBN-10 0821833553 ISBN-13 9780821833551 Format Hardcover Series Fields Institute Communications Imprint American Mathematical Society Place of Publication Providence Country of Publication United States Edited by James D. Lewis DEWEY 516.35 Language English Media Book DOI 10.1604/9780821833551 Series Number 38 AU Release Date 2003-09-01 NZ Release Date 2003-09-01 UK Release Date 2003-09-01 Illustrations Illustrations Publication Date 2003-09-30 Audience Professional & Vocational US Release Date 2003-09-30 We've got thisAt The Nile, if you're looking for it, we've got it.With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICYNo questions asked, 30 day returns! FREE DELIVERYNo matter where you are in the UK, delivery is free. SECURE PAYMENTPeace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:139107173; , Festpreisangebot, [LT: FixedPrice], ISBN-13: 9780821833551, Book Title: Calabi-yau Varieties and Mirror Symmetry, EAN: 9780821833551, Publication Year: 2003, Type: Textbook, Format: Hardcover, Language: English, Publication Name: Calabi-Yau Varieties and Mirror Symmetry, Subject: Mathematics, American Mathematical Society<
