Curves and Their Jacobians - 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 Curves and Their Jacobians write by David Mumford. This book was released on 1978. Curves and Their Jacobians available in PDF, EPUB and Kindle.
Curves and Their Jacobians
Curves and Their Jacobians - 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 Curves and Their Jacobians write by David Mumford. This book was released on 1975. Curves and Their Jacobians available in PDF, EPUB and Kindle.
Rigid Geometry of Curves and Their Jacobians
Rigid Geometry of Curves and Their Jacobians - 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 Rigid Geometry of Curves and Their Jacobians write by Werner Lütkebohmert. This book was released on 2016-01-26. Rigid Geometry of Curves and Their Jacobians available in PDF, EPUB and Kindle. This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.
The Red Book of Varieties and Schemes
The Red Book of Varieties and 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 Red Book of Varieties and Schemes write by David Mumford. This book was released on 2004-02-21. The Red Book of Varieties and Schemes available in PDF, EPUB and Kindle. Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.
Lectures on Algebraic Geometry II
Lectures on Algebraic Geometry II - 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 Lectures on Algebraic Geometry II write by Günter Harder. This book was released on 2011-04-21. Lectures on Algebraic Geometry II available in PDF, EPUB and Kindle. This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
