This monograph gives an exposition of Hodge theory, leading to three new proofs of a local Torelli theorem for curves and a proof for a smooth family of surfaces, threefolds, or fourfolds, whose cotangent map is a birational morphism.
"During 1981-1982 the Institute for Advanced Study held a special year on algebraic geometry. Naturally there were a number of seminars, and this volume is essentially the proceedings of one of these.
This conference proceedings volume contains survey and research articles on topics of current interest written by leading international experts. The topic of the symposium was ``Interactions of Algebraic Geometry, Hodge...
J.-L. Brylinski and S. Zucker, An overview of recent advances in Hodge theory, Encycl. of Math. Sciences, vol. 69, Springer - Verlag, Berlin - Heidelberg ... J.W.Hoffmann, The Hodge theory of stable curves, Mem. Amer. Math. Soc., vol.
This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of ...
J. W. Hoffman, The Hodge theory of stable curves, Mem. Amer. Math. Soc. No. 51 (1984). 30. V. Kulikov, Degenerations of K3 surfaces and Enriques' surfaces, Math. USSR-Izv. 11 (1977), 327–360. 31. J. Morgan, The algebraic topology of ...
This book is primarily concerned with applications of Koszul cohomology to algebraic geometry, with an emphasis on syzygies of complex projective curves.
This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday.
Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.
Moduli theory is ubiquitous in algebraic geometry, and this is reflected in the list of moduli spaces addressed in this volume: sheaves on varieties, symmetric tensors, abelian differentials, (log) Calabi-Yau varieties, points on schemes, ...