Algebraic Geometry Part I: Schemes. with Examples and Exercises

Author/creator Görtz, Ulrich Author
Other author Wedhorn,Torsten Author
Format Electronic
Publication InfoWiesbaden : Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH Secaucus : Springer [Distributor]
Descriptioniv, 615 p. 24.000 x 016.800 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2010 English International
Supplemental ContentFull text available from Springer Books

SeriesAdvanced Lectures in Mathematics Ser.
Summary Annotation 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.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9783834806765
ISBN3834806765 (Trade Paper) Active Record
Standard identifier# 9783834806765
Stock number3834806765 00713190