Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds Radu Laza, Matthias Schütt, Noriko Yui, editors

Format:

Book

Contributor:

Laza, Radu

Schütt, Matthias, 1977-

Yui, Noriko

Series:

Fields Institute communications v. 67

Fields Institute Communications 1069-5265 v. 67

Language:

English

Subjects (All):

Surfaces, Algebraic--Congresses.

Surfaces, Algebraic.

Threefolds (Algebraic geometry)--Congresses.

Threefolds (Algebraic geometry).

Mathematics.

Algebraic Geometry.

Number Theory.

Differential Geometry.

Mathematical Physics.

Local Subjects:

Mathematics.

Algebraic Geometry.

Number Theory.

Differential Geometry.

Mathematical Physics.

Genre:

proceedings (reports)

Conference papers and proceedings

Physical Description:

1 online resource

Place of Publication:

New York, NY Springer ©2013

System Details:

PDF

text file

Summary:

This book surveys the very active field of Calabi-Yau varieties from a geometric and arithmetic perspective. It includes four introductory lectures that can be used by graduate students and other researchers as a guide to the field and contains a varied selection of topics from pure arithmetic questions to geometric questions to Hodge theory

Contents:

Part I. Introductory lectures

part II. Research articles : arithmetic and geometry of K3, Enriques and other surfaces

part III. Research articles : arithmetic and geometry of Calabi-Yau threefolds and higher dimentional varieties

Introductory Lectures. K3 and Enriques Surfaces Shigeyuki Kondō Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi-Yau Varieties James D. Lewis Two Lectures on the Arithmetic of K3 Surfaces Matthias Schütt Modularity of Calabi-Yau Varieties: 2011 and Beyond Noriko Yui Research Articles: Arithmetic and Geometry of K3, Enriques and Other Surfaces. Explicit Algebraic Coverings of a Pointed Torus Ane S.I. Anema, Jaap Top Elliptic Fibrations on the Modular Surface Associated to Γ 1(8) M.J. Bertin, O. Lecacheux Universal Kummer Families Over Shimura Curves Amnon Besser, Ron Livné Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic Igor V. Dolgachev Picard-Fuchs Equations of Special One-Parameter Families of Invertible Polynomials Swantje Gährs A Structure Theorem for Fibrations on Delsarte Surfaces Bas Heijne, Remke Kloosterman Fourier-Mukai Partners and Polarised K3 Surfaces K. Hulek, D. Ploog On a Family of K3 Surfaces with S4 Symmetry Dagan Karp, Jacob Lewis, Daniel Moore, Dmitri Skjorshammer, Ursula Whitcher K₁ ind of Elliptically Fibered K3 Surfaces: A Tale of Two Cycles Matt Kerr A Note About Special Cycles on Moduli Spaces of K3 Surfaces Stephen Kudla Enriques Surfaces of Hutchinson-Göpel Type and Mathieu Automorphisms Shigeru Mukai, Hisanori Ohashi Quartic K3 Surfaces and Cremona Transformations Keiji Oguiso Invariants of Regular Models of the Product of Two Elliptic Curves at a Place of Multiplicative Reduction Chad Schoen Research Articles: Arithmetic and Geometry of Calabi-Yau Threefolds and Higher Dimentional Varieties. Dynamics of Special Points on Intermediate Jacobians Xi Chen, James D. Lewis Calabi-Yau Conifold Expansions Slawomir Cynk, Duco van Straten Quadratic Twists of Rigid Calabi-Yau Threefolds Over Q Fernando Q. Gouvêa, Ian Kiming, Noriko Yui Counting Sheaves on Calabi-Yau and Abelian Threefolds Martin G. Gulbrandsen The Segre Cubic and Borcherds Products Shigeyuki Kondō Quasi-modular Forms Attached to Hodge Structures Hossein Movasati The Zero Locus of the Infinitesimal Invariant G. Pearlstein, Ch. Schnell

Notes:

Includes bibliographical references

Print version record

Other Format:

Print version Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds

ISBN:

9781461464037

146146403X

1461464021

9781461464020

OCLC:

849902330

Access Restriction:

Restricted for use by site license