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Algebraic Geometry over the Complex Numbers (Universitext) - Softcover

 
9781461418085: Algebraic Geometry over the Complex Numbers (Universitext)

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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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Über die Autorin bzw. den 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.

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<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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9781461418108: Algebraic Geometry over the Complex Numbers

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ISBN 10:  1461418100 ISBN 13:  9781461418108
Verlag: Springer, 2012
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Arapura, Donu
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Taschenbuch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 344 pp. Englisch. Artikel-Nr. 9781461418085

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. 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. Unique features of this textbook: - Contains a rapid introduction to complex algebraic geometry - Includes background material on topology, manifold theory and sheaf theory - Analytic and algebraic approaches are developed somewhat in parallel The presentation is easy going, elementary, and well illustrated with examples. 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. Artikel-Nr. 9781461418085

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Zustand: New. This book provides a rapid introduction to complex algebraic geometry. It combines the study of algebraic geometry with differential and complex geometry and unifies these subjects using sheaf-theoretic ideas. Series: Universitext. Num Pages: 341 pages, 16 black & white illustrations, 1 colour illustrations, biography. BIC Classification: PBKD; PBMW; PBP. Category: (P) Professional & Vocational. Dimension: 170 x 235 x 13. Weight in Grams: 516. . 2012. 2012th Edition. Paperback. . . . . Books ship from the US and Ireland. Artikel-Nr. V9781461418085

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