000 02263nam a22003618i 4500
001 CR9781316594193
003 UkCbUP
005 20200124160211.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 151006s2016||||enk o ||1 0|eng|d
020 _a9781316594193 (ebook)
020 _z9781107153042 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA571
_b.H89 2016
082 0 0 _a516.3/52
_223
100 1 _aHuybrechts, Daniel,
_eauthor.
245 1 0 _aLectures on K3 surfaces /
_cDaniel Huybrechts, University of Bonn.
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xi, 485 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v158
500 _aTitle from publisher's bibliographic system (viewed on 27 Oct 2016).
520 _aK3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi-Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin-Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.
650 0 _aSurfaces, Algebraic.
650 0 _aThreefolds (Algebraic geometry)
650 0 _aGeometry, Algebraic.
776 0 8 _iPrint version:
_z9781107153042
830 0 _aCambridge studies in advanced mathematics ;
_v158.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316594193
999 _c515777
_d515775