Full Product Details
Author: James Carlson (University of Utah) ,
Stefan Müller-Stach (Johannes Gutenberg Universität Mainz, Germany) ,
Chris Peters
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Edition: 2nd Revised edition
Dimensions:
Width: 15.30cm
, Height: 3.20cm
, Length: 22.70cm
Weight: 0.820kg
ISBN: 9781316639566
ISBN 10: 1316639568
Pages: 576
Publication Date: 11 August 2017
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Available To Order
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Reviews
Review of previous edition: 'This book, dedicated to Philip Griffiths, provides an excellent introduction to the study of periods of algebraic integrals and their applications to complex algebraic geometry. In addition to the clarity of the presentation and the wealth of information, this book also contains numerous problems which render it ideal for use in a graduate course in Hodge theory.' Mathematical Reviews Review of previous edition: '... generally more informal and differential-geometric in its approach, which will appeal to many readers ... the book is a useful introduction to Carlos Simpson's deep analysis of the fundamental groups of compact Kahler manifolds using harmonic maps and Higgs bundles.' Burt Totaro, University of Cambridge 'This monograph provides an excellent introduction to Hodge theory and its applications to complex algebraic geometry.' Gregory Pearlstein, Nieuw Archief voor Weskunde Review of previous edition: 'This book, dedicated to Philip Griffiths, provides an excellent introduction to the study of periods of algebraic integrals and their applications to complex algebraic geometry. In addition to the clarity of the presentation and the wealth of information, this book also contains numerous problems which render it ideal for use in a graduate course in Hodge theory.' Mathematical Reviews Review of previous edition: '... generally more informal and differential-geometric in its approach, which will appeal to many readers ... the book is a useful introduction to Carlos Simpson's deep analysis of the fundamental groups of compact Kahler manifolds using harmonic maps and Higgs bundles.' Burt Totaro, University of Cambridge 'This monograph provides an excellent introduction to Hodge theory and its applications to complex algebraic geometry.' Gregory Pearlstein, Nieuw Archief voor Weskunde
Review of previous edition: 'This book, dedicated to Philip Griffiths, provides an excellent introduction to the study of periods of algebraic integrals and their applications to complex algebraic geometry. In addition to the clarity of the presentation and the wealth of information, this book also contains numerous problems which render it ideal for use in a graduate course in Hodge theory.' Mathematical Reviews Review of previous edition: '... generally more informal and differential-geometric in its approach, which will appeal to many readers ... the book is a useful introduction to Carlos Simpson's deep analysis of the fundamental groups of compact Kahler manifolds using harmonic maps and Higgs bundles.' Burt Totaro, University of Cambridge
Author Information
James Carlson is Professor Emeritus at the University of Utah. From 2003 to 2012, he was president of the Clay Mathematics Institute, New Hampshire. Most of Carlson's research is in the area of Hodge theory. Stefan Müller-Stach is Professor of number theory at Johannes Gutenberg Universität Mainz, Germany. He works in arithmetic and algebraic geometry, focussing on algebraic cycles and Hodge theory, and his recent research interests include period integrals and the history and foundations of mathematics. Recently, he has published monographs on number theory (with J. Piontkowski) and period numbers (with A. Huber), as well as an edition of some works of Richard Dedekind. Chris Peters is a retired professor from the Université Grenoble Alpes, France and has a research position at the Eindhoven University of Technology, The Netherlands. He is widely known for the monographs Compact Complex Surfaces (with W. Barth, K. Hulek and A. van de Ven, 1984), as well as Mixed Hodge Structures, (with J. Steenbrink, 2008). He has also written shorter treatises on the motivic aspects of Hodge theory, on motives (with J. P. Murre and J. Nagel) and on applications of Hodge theory in mirror symmetry (with Bertin).
