The Resource Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds, edited by Radu Laza, Matthias Schütt, Noriko Yui, (electronic resource)

Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds, edited by Radu Laza, Matthias Schütt, Noriko Yui, (electronic resource)

Label
Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
Title
Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
Statement of responsibility
edited by Radu Laza, Matthias Schütt, Noriko Yui
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both the 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 large 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 three days of introductory lectures. A selection of four of these lectures is included in this volume. These lectures can be used as a starting point for graduate students and other junior researchers, or as a guide to the subject
Member of
Dewey number
516.35
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • pYWShM48Ts0
  • Xprx0gLR46M
  • g4E_kNImzSU
Language note
English
LC call number
QA564-609
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Laza, Radu.
  • Schütt, Matthias.
  • Yui, Noriko.
Series statement
Fields Institute Communications,
Series volume
67
http://library.link/vocab/subjectName
  • Geometry, algebraic
  • Number theory
  • Global differential geometry
  • Algebraic Geometry
  • Number Theory
  • Differential Geometry
  • Mathematical Physics
Label
Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds, edited by Radu Laza, Matthias Schütt, Noriko Yui, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
.-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 Γ1(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)
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (612 p.)
Form of item
online
Isbn
9781461464037
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-6403-7
Specific material designation
remote
System control number
  • (CKB)2560000000103553
  • (EBL)1317343
  • (OCoLC)849902330
  • (SSID)ssj0000935491
  • (PQKBManifestationID)11597483
  • (PQKBTitleCode)TC0000935491
  • (PQKBWorkID)10971301
  • (PQKB)10925230
  • (DE-He213)978-1-4614-6403-7
  • (MiAaPQ)EBC1317343
  • (EXLCZ)992560000000103553
Label
Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds, edited by Radu Laza, Matthias Schütt, Noriko Yui, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
.-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 Γ1(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)
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (612 p.)
Form of item
online
Isbn
9781461464037
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-6403-7
Specific material designation
remote
System control number
  • (CKB)2560000000103553
  • (EBL)1317343
  • (OCoLC)849902330
  • (SSID)ssj0000935491
  • (PQKBManifestationID)11597483
  • (PQKBTitleCode)TC0000935491
  • (PQKBWorkID)10971301
  • (PQKB)10925230
  • (DE-He213)978-1-4614-6403-7
  • (MiAaPQ)EBC1317343
  • (EXLCZ)992560000000103553

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