Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Laza, Radu (Επιμελητής έκδοσης), Schütt, Matthias (Επιμελητής έκδοσης), Yui, Noriko (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Fields Institute Communications, 67
• Θέματα: Mathematics.; Algebraic geometry.; Differential geometry.; Number theory.; Mathematical physics.; Algebraic Geometry.; Number Theory.; Differential Geometry.; Mathematical Physics.

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 G...

Πίνακας περιεχομένων:

• .-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).