Arithmetic and Geometry of K3 Surfaces and...

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Beschreibung

In recent years, research in K3 surfaces and Calabi¿Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics¿in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi¿Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi¿Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated.

Unlike most other conferences, the 2011 Calabi¿Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.

Zusammenfassung

Surveys the very active field of Calabi-Yau varieties from a geometric and arithmetic perspective

Includes four introductory lectures that can be used by graduate students and other researchers as a guide to the field

Contains a varied selection of topics from pure arithmetic questions to geometric questions to Hodge theory

Includes supplementary material: [...]

Inhaltsverzeichnis

.-Preface.-Introduction.-List of Participants.- K3 and Enriques Surfaces (S. Kondo).- Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi¿Yau Varieties (J.D. Lewis).- Two Lectures on the Arithmetic of K3 Surfaces (M. Schütt).- Modularity of Calabi¿Yau Varieties (N. Yui).- Explicit Algebraic Coverings of a Pointed Torus (A. Anema, J. Top).- Elliptic Fibrations on the Modular Surface Associated to ¿1(8).- Universal Kummer Families over Shimura Curves (A. Besser, R. Livné).- Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic (I.V. Dolgachev).- Picard-Fuchs Equations of Special One-Parameter Families of Invertible Polynomials (S. Gährs).- A Structure Theorem for Fibrations on Delsarte Surfaces (B. Heijne, R. Kloosterman).- Fourier¿Mukai Partners and Polarised K3 Surfaces (K. Hulek, D. Ploog).- On a Family of K3 Surfaces with S4 Symmetry (D. Karp, J. Lewish, D. Moore, D. Skjorshammer, U. Whitcher).- K1ind of Elliptically Fibered K3 Surfaces (M. Kerr).- A Note About Special Cycles on Moduli Spaces of K3 Surfaces (S. Kudla).- Enriques Surfaces of Hutchinson¿Göpel Type and Mathieu Automorphisms (S. Mukai, H. Ohashi).- Quartic K3 Surfaces and Cremona Transformations (K. Oguiso).- Invariants of Regular Models of the Product of Two Elliptical Curves at a Place of Multiplicative Reduction (C. Schoen).- Dynamics of Special Points on Intermediate Jacobians (X. Chen, J.D. Lewis).- Calabi¿Yau Conifold Expansions (S. Cynk, D. van Straten).- Quadratic Twists of Rigid Calabi¿Yau Threefolds over Q (F.Q. Gouvêa, I. Kimming, N. Yui).- Counting Sheaves on Calabi¿Yau and Abelian Threefolds (M.G. Gulbrandsen).- The Serge Cubic and Borcherds Products (S. Kondo).- Quadi-Modular Forms Attached to Hodge Structures (H. Movasati).- The Zero Locus of the Infinitesimal Invariable (G. Pearlstein, Ch. Schnell).

Erscheinungsjahr:	2015
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	628
Reihe:	Fields Institute Communications
Inhalt:	xxvi 602 S. 25 s/w Illustr. 16 farbige Illustr. 602 p. 41 illus. 16 illus. in color.
ISBN-13:	9781489999184
ISBN-10:	1489999183
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Redaktion:	Laza, Radu Yui, Noriko Schütt, Matthias
Herausgeber:	Radu Laza/Matthias Schütt/Noriko Yui
Auflage:	Softcover reprint of the original 1st ed. 2013
Hersteller:	Springer New York Springer US, New York, N.Y. Fields Institute Communications
Maße:	235 x 155 x 34 mm
Von/Mit:	Radu Laza (u. a.)
Erscheinungsdatum:	27.07.2015
Gewicht:	0,937 kg

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