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Algebraic Geometry over the Complex Numbers (Universitext) - Tapa blanda

Libro 96 de 261: Universitext

Arapura, Donu

 
9781461418085: Algebraic Geometry over the Complex Numbers (Universitext)
Tapa blanda
ISBN 10: 1461418089 ISBN 13: 9781461418085
Editorial: Springer, 2012

Sinopsis

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.

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Acerca del autor

Donu Arapura is a Professor of Mathematics at Purdue University. He received his Ph.D. from Columbia University in 1985. Dr. Arapura’s primary research includes algebraic geometry, and he has written and co-written several publications ranging from Hodge cycles to cohomology.

De la contraportada

<p>This textbook is a strong addition to existing introductory literature on algebraic geometry. The author’s treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjects using sheaf-theoretic ideas. It is also an ideal text for showing students the connections between algebraic geometry, complex geometry, and topology, and brings the reader close to the forefront of research in Hodge theory and related fields. </p><p>Unique features of this textbook: </p><p>- Contains a rapid introduction to complex algebraic geometry </p><p>- Includes background material on topology, manifold theory and sheaf theory </p><p>- Analytic and algebraic approaches are developed somewhat in parallel The presentation is easy going, elementary, and well illustrated with examples. </p><p>“Algebraic Geometry over the Complex Numbers” is intended for graduate level courses in algebraic geometry and related fields. It can be used as a main text for a second semester graduate course in algebraic geometry with emphasis on sheaf theoretical methods or a more advanced graduate course on algebraic geometry and Hodge Theory.</p>

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461418089
ISBN 13 
9781461418085
Encuadernación
Tapa blanda
Número de páginas
344
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

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