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Author : Gavril Farkas
Release : 2013
Genre : Moduli theory
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Handbook of Moduli: Advanced Lectures in Mathematics ; 24 by : Gavril Farkas
Download or read book Handbook of Moduli: Advanced Lectures in Mathematics ; 24 written by Gavril Farkas. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Release : 2013
Genre :
Kind : eBook
Book Rating : 657/5 ( reviews)
Book Synopsis Advanced Lectures in Mathematics, Volumes 24, 25, 26 by :
Download or read book Advanced Lectures in Mathematics, Volumes 24, 25, 26 written by . This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Olsson
Release : 2016-05-13
Genre : Mathematics
Kind : eBook
Book Rating : 982/5 ( reviews)
Book Synopsis Algebraic Spaces and Stacks by : Martin Olsson
Download or read book Algebraic Spaces and Stacks written by Martin Olsson. This book was released on 2016-05-13. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course. The first several chapters are devoted to background material including chapters on Grothendieck topologies, descent, and fibered categories. Following this, the theory of algebraic spaces and stacks is developed. The last three chapters discuss more advanced topics including the Keel-Mori theorem on the existence of coarse moduli spaces, gerbes and Brauer groups, and various moduli stacks of curves. Numerous exercises are included in each chapter ranging from routine verifications to more difficult problems, and a glossary of necessary category theory is included as an appendix.
Author : Joe Harris
Release : 2006-04-06
Genre : Mathematics
Kind : eBook
Book Rating : 377/5 ( reviews)
Book Synopsis Moduli of Curves by : Joe Harris
Download or read book Moduli of Curves written by Joe Harris. This book was released on 2006-04-06. Available in PDF, EPUB and Kindle. Book excerpt: A guide to a rich and fascinating subject: algebraic curves and how they vary in families. Providing a broad but compact overview of the field, this book is accessible to readers with a modest background in algebraic geometry. It develops many techniques, including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory, with the focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, illustrates typical applications with the proofs of the Brill-Noether and Gieseker-Petri theorems via limit linear series, and surveys the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important topics which are not covered in detail.
Author : Daniel Huybrechts
Release : 2010-05-27
Genre : Mathematics
Kind : eBook
Book Rating : 822/5 ( reviews)
Book Synopsis The Geometry of Moduli Spaces of Sheaves by : Daniel Huybrechts
Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts. This book was released on 2010-05-27. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
