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Algebraic Geometry: Part I: Schemes. With Examples and Exercises (Advanced Lectures in Mathematics) - Tapa blanda
Sinopsis
This comprehensive introduction to schemes is complemented by many exercises that serve to check the comprehension of the text, treat further examples and give an outlook on further results. Includes details from commutative algebra in an appendix.
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Acerca del autor
Prof. Dr. Ulrich Gortz, Institut fur Experimentelle Mathematik, Universitat Duisburg-Essen.Essen. Prof. Dr. Torsten Wedhorn, Institut fur Mathematik, Universitat Paderborn. Prof. Dr. Ulrich Gortz, Institute of Experimental Mathematics, University Duisburg-Essen. Prof. Dr. Torsten Wedhorn, Department of Mathematics, University of Paderborn.
De la contraportada
This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.
Prevarieties - Spectrum of a Ring - Schemes - Fiber products - Schemes over fields - Local properties of schemes - Quasi-coherent modules - Representable functors - Separated morphisms - Finiteness Conditions - Vector bundles - Affine and proper morphisms - Projective morphisms - Flat morphisms and dimension - One-dimensional schemes - Examples
Prof. Dr. Ulrich Görtz, Institute of Experimental Mathematics, University Duisburg-Essen
Prof. Dr. Torsten Wedhorn, Department of Mathematics, University of Paderborn
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Algebraic Geometry I. Schemes. With Examples and Exercises (Advanced Lectures in Mathematics).
Publicado por
Vieweg+Teubner Verlag, 2010
ISBN 10: 3834806765
ISBN 13: 9783834806765
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Algebraic Geometry I. Schemes. With Examples and Exercises
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Braunschweig, Vieweg + Teubner (Advanced Lectures in Mathematics), 2010
ISBN 10: 3834806765
ISBN 13: 9783834806765
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Tapa blanda
Librería: Antiquariat Smock, Freiburg, Alemania
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Condición: Gut. Formateinband: Paperback / kartonierte Ausgabe VII, 615 S. (24 cm) 1. Aufl.; Wohl unbenutzt; guter und sauberer Zustand! Sprache: Englisch Gewicht in Gramm: 1500 [Stichwörter: Algebraische Geometrie]. Nº de ref. del artículo: 62236
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Algebraic Geometry I: Schemes with Examples and Exercises
Publicado por
Vieweg+Teubner Verlag, 2010
ISBN 10: 3834806765
ISBN 13: 9783834806765
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Soft cover. Condición: Good. No jacket. First edition. Cover is rubbed and cover corners are creased and worn. Spine is creased, but binding is secure. Fore edge of text block is lightly scuffed, but visible on pages. Ink annotations in margins, with a few underlines, on pages 1-149, but text is legible. All other pages are clean and unmarked. As is. Nº de ref. del artículo: 1142341
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Algebraic Geometry: Schemes. With Examples And Exercises: Pt.I
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Paperback. Condición: Brand New. 2010 edition. 619 pages. 9.75x6.75x1.50 inches. In Stock. Nº de ref. del artículo: zk3834806765
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Algebraic Geometry: Part I: Schemes. With Examples and Exercises (Advanced Lectures in Mathematics)
Publicado por
Vieweg+Teubner Verlag, 2010
ISBN 10: 3834806765
ISBN 13: 9783834806765
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Librería: Toscana Books, AUSTIN, TX, Estados Unidos de America
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