Algebraic Geometry: Further study of schemes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry: Further study of schemes write by 健爾·上野. This book was released on 2003. Algebraic Geometry: Further study of schemes available in PDF, EPUB and Kindle. This is the third part of the textbook on algebraic geometry by Kenji Ueno (the first two parts were published by the AMS as Volumes 185 and 197 of this series). Here the author presents the theory of schemes and sheaves beyond introductory notions, with the goal of studying properties of schemes and coherent sheaves necessary for full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion and Zariski's main theorem. The author also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem. The book contains numerous exercises and problems with solutions, which makes it (together with two previous parts) appropriate for a graduate course on algebraic geometry or for self-study.
Algebraic Geometry 1
Algebraic Geometry 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry 1 write by Kenji Ueno. This book was released on 1999. Algebraic Geometry 1 available in PDF, EPUB and Kindle. By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties.
Algebraic Geometry I: Schemes
Algebraic Geometry I: Schemes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry I: Schemes write by Ulrich Görtz. This book was released on 2020-07-27. Algebraic Geometry I: Schemes available in PDF, EPUB and Kindle. 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.
Algebraic Geometry: Further study of schemes
Algebraic Geometry: Further study of schemes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry: Further study of schemes write by 上野健爾. This book was released on 1999. Algebraic Geometry: Further study of schemes available in PDF, EPUB and Kindle.
The Geometry of Schemes
The Geometry of Schemes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Schemes write by David Eisenbud. This book was released on 2006-04-06. The Geometry of Schemes available in PDF, EPUB and Kindle. Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
