000			04987nam a22005175i 4500
001			978-1-4614-6403-7
003			DE-He213
005			20140220082824.0
007			cr nn 008mamaa
008			130611s2013 xxu| s |||| 0|eng d
020			_a9781461464037 _9978-1-4614-6403-7
024	7		_a10.1007/978-1-4614-6403-7 _2doi
050		4	_aQA564-609
072		7	_aPBMW _2bicssc
072		7	_aMAT012010 _2bisacsh
082	0	4	_a516.35 _223
100	1		_aLaza, Radu. _eeditor.
245	1	0	_aArithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds _h[electronic resource] / _cedited by Radu Laza, Matthias Schütt, Noriko Yui.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXXVI, 602 p. 41 illus., 16 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aFields Institute Communications, _x1069-5265 ; _v67
505	0		_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 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).
520			_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.
650		0	_aMathematics.
650		0	_aGeometry, algebraic.
650		0	_aGlobal differential geometry.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aNumber Theory.
650	2	4	_aDifferential Geometry.
650	2	4	_aMathematical Physics.
700	1		_aSchütt, Matthias. _eeditor.
700	1		_aYui, Noriko. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461464020
830		0	_aFields Institute Communications, _x1069-5265 ; _v67
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-6403-7
912			_aZDB-2-SMA
999			_c95666 _d95666