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1	On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (Am-157) more books like this by Mark Green, Phillip A Griffiths (Editor), John N Mather (Editor) add to wishlist In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, ... see all copies from $9.90! new only from $10.99!
2	Classifying Spaces of Degenerating Polarized Hodge Structures. (Am-169) more books like this by Kazuya Kato, Sampei Usui add to wishlist In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge ... see all copies from $52.90! new only from $52.90!
3	Mixed Hodge Structures and Singularities more books like this by Valentine S Kulikov, Bela Bollobas (Editor), W Fulton (Editor) add to wishlist This book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying of singularities by means of differential forms. Here some ideas and notions that arose in global algebraic geometry, namely mixed Hodge structures and the theory of period maps, are developed in the local situation to study the ... see all copies from $50.00! new only from $50.00!
4	Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor D-Modules more books like this by Takuro Mochizuki add to wishlist The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat ... see all copies from $95.88! new only from $95.88!
5	Hodge Theory and Complex Algebraic Geometry I: Volume 1 more books like this by Claire Voisin, Bela Bollobas (Editor), W Fulton (Editor) add to wishlist The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler ... see all copies from $89.00! new only from $115.17! \| SVS
6	Hodge Theory in the Sobolev Topology for the de Rham Complex more books like this by Luigi Fontana, Steven G. Krantz, Marco M. Peloso add to wishlist In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L^2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper ... see all copies from $20.51! new only from $28.93! \| SVS
7	Hodge Theory and Complex Algebraic Geometry I more books like this by Claire Voisin, Leila Schneps (Translator) add to wishlist The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler ... see all copies from $38.73! new only from $38.73! \| SVS
8	Algebraic Cycles and Hodge Theory: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Torino, Italy, June 21-29, 1993 more books like this by M Green add to wishlist The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods ... see all copies from $41.67! new only from $41.67! \| SVS
9	Mixed Motives and Algebraic K-Theory more books like this by Uwe Jannsen add to wishlist The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincar duality theories, weights, and tensor categories. One thus arrives at ... see all copies from $31.97! new only from $31.97! \| SVS
10	Hodge Decomposition - A Method for Solving Boundary Value Problems more books like this by Gunter Schwarz, Gnter Schwarz, Ga1/4nter Schwarz add to wishlist Hodge theory is a standard theory in characterizing differential complexes and the topology of manifolds. This text is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects and aims at developing a method for solving boundary value problems. Analyzing a Dirichlet form on the exterior ... see all copies from $25.72! new only from $25.72! \| SVS
11	*From Hodge Theory to Integrability and Tqft: Tt-Geometry; International Workshop from Tqft to Tt* and Integrability, May 25-29, 2007, Augsburg, Germany more books like this by Ron Y Donagi add to wishlist** Ideas from quantum field theory and string theory have had an enormous impact on geometry over the last two decades. One extremely fruitful source of new mathematical ideas goes back to the works of Cecotti, Vafa, et al. around 1991 on the geometry of topological field theory. Their tt-geometry (tt stands for topological-antitopological) was ... see all copies from $50.25! new only from $50.25!
12 view cover	Topics in Transcendental Algebraic Geometry more books like this by Phillip Griffiths (Editor) add to wishlist see all copies from $75.23! new only from $75.23! \| SVS
13 view cover	Differential Forms on Singular Varieties: de Rham and Hodge Theory Simplified more books like this by Vincenzo Ancona, Bernard Gaveau add to wishlist Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of higher ... see all copies from $107.58! new only from $107.58!
14	Hodge Theory and the Local Torelli Problem more books like this by Loring W. Tu add to wishlist see all copies from $7.99! new only from $28.60!
15 view cover	Period Mappings and Period Domains more books like this by James Carlson, Stefan Muller-Stach, Chris Peters add to wishlist The period matrix of a curve effectively describes how the complex structure varies; this is Torelli's theorem dating from the beginning of the nineteenth century. In the 1950s during the first revolution of algebraic geometry, attention shifted to higher dimensions and one of the guiding conjectures, the Hodge conjecture got formulated. In the ... see all copies from $69.99! new only from $118.15!
16 view cover	Introduction to Hodge Theory more books like this by Yasumasa Nishiura add to wishlist 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 ... see all copies from $72.83! new only from $72.83!
17	The Siegel Modular Variety of Degree Two and Level Four more books like this by Ronnie Lee, Steven H. Weintraub, J. William Hoffman add to wishlist "The Siegel Modular Variety of Degree Two and Level Four" is by Ronnie Lee and Steven H. Weintraub: Let $\mathbf M_n$ denote the quotient of the degree two Siegel space by the principal congruence subgroup of level $n$ of $Sp_4(\mathbb Z)$. $\mathbfM_n$ is the moduli space of principally polarized abelian surfaces with a level $n$ structure and ... see all copies from $54.92! new only from $54.92!
18 view cover	Noether-Lefschetz Problems for Degeneracy Loci more books like this by J Spandaw add to wishlist In this monograph, we study the cohomology of degeneracy loci of the following type. Let $X$ be a complex projective manifold of dimension $n$, let $E$ and $F$ be holomorphic vector bundles on $X$ of rank $e$ and $f$, respectively, and let $\psi\colon F\to E$ be a holomorphic homomorphism of vector bundles. Consider the degeneracy locus $Z:=D_r( ... see all copies from $72.03! new only from $72.03!
19 view cover	Brownian Motion and Index Formulas for the de Rham Complex more books like this by Kazuaki Taira add to wishlist The purpose of this monograph is to give an analytic proof of an index formula for the relative de Rham cohomology groups which may be considered as a generalization of the celebrated Hodge-Kodaira theory for the absolute de Rham cohomology groups. More precisely, let X be a compact oriented smooth Riemannian manifold without boundary, and Y a ... see all copies from $172.01! new only from $172.01! \| first editions
20 view cover	Hodge Theory more books like this by Eduardo H C Cattani (Editor), Francisco Guillen (Editor), Aroldo Kaplan (Editor) add to wishlist Over the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry. The papers in this volume reflect the recent developments in the areas of: mixed Hodge theory on the cohomology of singular and open varieties, on the rational homotopy of algebraic varieties, on the cohomology of a link, ... see all copies from $18.07! new only from $18.07! \| SVS
21	Forme de Jordan de La Monodromie Des Singuarites Superisolees de Surfaces more books like this by Enrique Artal-Bartolo add to wishlist In this work, Artal-Bartolo calculates the Jordan form of the monodromy of surface superisolated singularities, using mixed Hodge structure. The main step in this computation is to present explicitly an embedded resolution for this family. It turns out that the topology of these singularities is sufficiently complicated to produce counterexamples ... see all copies from $31.48! new only from $31.48!

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