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Algebraic Geometry I: Schemes

- With Examples and Exercises
Af: Ulrich Gortz, Torsten Wedhorn Engelsk Paperback

Algebraic Geometry I: Schemes

- With Examples and Exercises
Af: Ulrich Gortz, Torsten Wedhorn Engelsk Paperback
Tjek vores konkurrenters priser
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 626
ISBN-13: 9783658307325
Indbinding: Paperback
Udgave:
ISBN-10: 3658307323
Udg. Dato: 28 jul 2020
Længde: 37mm
Bredde: 245mm
Højde: 169mm
Forlag: Springer Fachmedien Wiesbaden
Oplagsdato: 28 jul 2020
Forfatter(e): Ulrich Gortz, Torsten Wedhorn
Forfatter(e) Ulrich Gortz, Torsten Wedhorn


Kategori Algebraisk geometri


ISBN-13 9783658307325


Sprog Engelsk


Indbinding Paperback


Sider 626


Udgave


Længde 37mm


Bredde 245mm


Højde 169mm


Udg. Dato 28 jul 2020


Oplagsdato 28 jul 2020


Forlag Springer Fachmedien Wiesbaden

Kategori sammenhænge