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.
Rigid Analytic Curves and Their Jacobians
Rigid Analytic 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 Analytic Curves and Their Jacobians write by Sophie Schmieg. This book was released on 2013. Rigid Analytic 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 Analytic Geometry and Its Applications
Rigid Analytic Geometry and Its Applications - 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 Analytic Geometry and Its Applications write by Jean Fresnel. This book was released on 2004. Rigid Analytic Geometry and Its Applications available in PDF, EPUB and Kindle. Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," tale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.
Rigid Analytic Uniformization of Hyperelliptic Curves
Rigid Analytic Uniformization of Hyperelliptic Curves - 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 Analytic Uniformization of Hyperelliptic Curves write by Samuel Kadziela. This book was released on 2007. Rigid Analytic Uniformization of Hyperelliptic Curves available in PDF, EPUB and Kindle. We describe a method for approximating the Mumford curve model O/Gamma of a given totally split hyperelliptic curve y2 = i=12g+2x-a i . Once the generators of the Schottky group Gamma are obtained, we also explain how to use them to compute the period lattice of the Jacobian of the curve.
