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J. P. Demailly, L. Illusie, C. Peters “Introduction to Hodge Theory"

Hodge theory originated as an application of harmonic theory to the study of the geometry of compact complex manifolds. The ideas have proved to be quite powerful, leading to fundamentally important results throughout algebraic geometry. This book consists of expositions of various aspects of modern Hodge theory. Its purpose is to provide the nonexpert reader with a precise idea of the current status of the subject. The three chapters develop distinct but closely related subjects: $L^2$ Hodge theory and vanishing theorems; Frobenius and Hodge degeneration; variations of Hodge structures and mirror symmetry.The techniques employed cover a wide range of methods borrowed from the heart of mathematics: elliptic PDE theory, complex differential geometry, algebraic geometry in characteristic $p$, cohomological and sheaf-theoretic methods, deformation theory of complex varieties, Calabi-Yau manifolds, singularity theory, etc. A special effort has been made to approach the various themes from their most natural starting points. Each of the three chapters is supplemented with a detailed introduction and numerous references. The reader will find precise statements of quite a number of open problems that have been the subject of active research in recent years. The reader should have some familiarity with differential and algebraic geometry, with other prerequisites varying by chapter. The book is suitable as an accompaniment to a second course in algebraic geome

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	Science/Engineering The Theory and Applications of Harmonic Integrals: William Vallance Douglas Hodge The Theory and Applications of Harmonic Integrals: William Vallance Douglas Hodge Cambridge University Press \| ISBN: 0521358817 \| 1941 \| djvu (ocr) \| pages \| 5.98 Mb From the book review by D.J. Struik Bull. Amer. Math. Soc. Volume 50, Nu ...
	Science/Engineering The Hodge Theory of Projective Manifolds M Andrea De Cataldo, "The Hodge Theory of Projective Manifolds" Imperial College Press \| 2007 \| ISBN: 1860948006 \| 116 pages \| PDF \| 1,3 MB This book is a written-up and expanded version of eight lectures on the Hodge theory of project ...
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	A.N. Hodge A.N. Hodge "The History of Art: The Essential Guide to Painting Through the Ages"Arcturus foulsham \| 2007-08-09 \| ISBN: 057203377X \| 208 pages \| PDF \| 29 Mb This work takes a fascinating and thought-provoking look at the major moveme ...
	Mathematics Mixed Hodge Structures Chris A.M. Peters, Joseph H. M. Steenbrink "Mixed Hodge Structures" Springer \| 2008-03 \| ISBN: 3540770151 \| PDF \| 484 pages \| 2,7 Mb This is the first comprehensive basic monograph on mixed Hodge structures. Starting with a summary of cla ...
	Technical Complex Manifolds, Vector Bundles, and Hodge Theory J. L. Brylinski, P. Foth, "Complex Manifolds, Vector Bundles, and Hodge Theory" Birkhauser Verlag AG \| 2005 \| ISBN: 0817632417 \| 268 pages \| PDF \| 1 MB Not all books on AvaxHome appear on the homepage. In order not to miss many of t ...

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	Science/Engineering The Theory and Applications of Harmonic Integrals: William Vallance Douglas Hodge The Theory and Applications of Harmonic Integrals: William Vallance Douglas Hodge Cambridge University Press \| ISBN: 0521358817 \| 1941 \| djvu (ocr) \| pages \| 5.98 Mb From the book review by D.J. Struik Bull. Amer. Math. Soc. Volume 50, Nu ...
	Science/Engineering The Hodge Theory of Projective Manifolds M Andrea De Cataldo, "The Hodge Theory of Projective Manifolds" Imperial College Press \| 2007 \| ISBN: 1860948006 \| 116 pages \| PDF \| 1,3 MB This book is a written-up and expanded version of eight lectures on the Hodge theory of project ...
	Introduction to Conformal Field Theory: With Applications to String Theory (repost) Introduction to Conformal Field Theory: With Applications to String Theory Springer \| 2009 \| ISBN: 3642004490 \| 265 pages \| PDF \| 2,4 MB Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special ...
	A.N. Hodge A.N. Hodge "The History of Art: The Essential Guide to Painting Through the Ages"Arcturus foulsham \| 2007-08-09 \| ISBN: 057203377X \| 208 pages \| PDF \| 29 Mb This work takes a fascinating and thought-provoking look at the major moveme ...
	Mathematics Mixed Hodge Structures Chris A.M. Peters, Joseph H. M. Steenbrink "Mixed Hodge Structures" Springer \| 2008-03 \| ISBN: 3540770151 \| PDF \| 484 pages \| 2,7 Mb This is the first comprehensive basic monograph on mixed Hodge structures. Starting with a summary of cla ...
	Technical Complex Manifolds, Vector Bundles, and Hodge Theory J. L. Brylinski, P. Foth, "Complex Manifolds, Vector Bundles, and Hodge Theory" Birkhauser Verlag AG \| 2005 \| ISBN: 0817632417 \| 268 pages \| PDF \| 1 MB Not all books on AvaxHome appear on the homepage. In order not to miss many of t ...

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