LEADER 04869nam 2200541Ia 450 001 9910739437403321 005 20200520144314.0 010 $a1-4614-6403-X 024 7 $a10.1007/978-1-4614-6403-7 035 $a(OCoLC)849902330 035 $a(MiFhGG)GVRL6WJO 035 $a(CKB)2560000000103553 035 $a(MiAaPQ)EBC1317343 035 $a(EXLCZ)992560000000103553 100 $a20130130d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 00$aArithmetic and geometry of K3 surfaces and calabi-yau threefolds /$fRadu Laza, Matthias Schutt, Noriko Yui, editors 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (xxvi, 602 pages) $cillustrations (some color) 225 0 $aFields Institute Communications ;$v67 300 $a"ISSN: 1069-5265." 311 $a1-4899-9918-3 311 $a1-4614-6402-1 320 $aIncludes bibliographical references. 327 $a.-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). 330 $aIn recent years, research in K3 surfaces and Calabi?Yau varieties has seen spectacular progress from both the arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics?in particular, in string theory. The workshop on  Arithmetic and Geometry of  K3 surfaces and Calabi?Yau threefolds, held at the Fields Institute (August 16?25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi?Yau varieties. With the large variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated. Unlike most other conferences, the 2011 Calabi?Yau workshop started with three days of introductory lectures. A selection of four of these lectures is included in this volume. These lectures can be used as a starting point for graduate students and other junior researchers, or as a guide to the subject. 410 0$aFields Institute communications ;$vvolume 67. 606 $aSurfaces 606 $aManifolds (Mathematics) 615 0$aSurfaces. 615 0$aManifolds (Mathematics) 676 $a516.352 701 $aLaza$b Radu$0755863 701 $aShutt$b Matthias$f1955-$01750149 701 $aYui$b Noriko$060010 712 02$aFields Institute for Research in Mathematical Sciences. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739437403321 996 $aArithmetic and geometry of K3 surfaces and calabi-yau threefolds$94184696 997 $aUNINA