00000cmm a22000004a 4500 UP-99796217611212390 Buklod 20250120053901.0 m go j cr cn |||aaaaa 250120s2011 gw ||||go||j| ||||||engdd 9783834881595 (v.2 : eBook) 3834881597 (v.2 : eBook) 9783834804327 (iLib)UPD-00215704152 DMLR rda eng DMLUC QA 564 H23 2011eb Harder, Günter 1938- author Lectures on algebraic geometry II Günter Harder. Wiesbaden Vieweg 2011 online resource (xiii, 365 pages) illustrations text rdacontent computer rdamedia online resource rdacarrier Includes bibliographical references and index Preface Contents Introduction 6 Basic concepts of the theory of schemes 7 Some commutative algebra 8 Projective schemes 9 Curves and the theorem of Riemann-Roch 10 The Picard faunctor for curves and their Jacobians Bibliography Index IP-based subscription, access limited to within on-campus computer network Access via Electronic Resources of the UPD University Library Website In this second volume of "Lectures on Algebraic Geometry", the author starts with some foundational concepts in the theory of schemes and gives a somewhat casual introduction into commutative algebra. After that he proves the finiteness results for coherent cohomology and discusses important applications of these finiteness results. In the two last chapters, curves and their Jacobians are treated and some outlook into further directions of research is given. The first volume is not necessarily a prerequisite for the second volume if the reader accepts the concepts on sheaf cohomology. On the other hand, the concepts and results in the second volume have been historically inspired by the theory of Riemann surfaces. There is a deep connection between these two volumes, in spirit they form a unity. Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians. Prof. Dr. Günter Harder, Department of Mathematics, University of Bonn, and Max-Planck-Institute for Mathematics, Bonn, German --Provided by publisher Electronic reproduction New York SpringerLink 2011 Available via World Wide Web through SpringerLink Geometry, Algebraic. Algebraic topology. Sheaf theory. Riemann surfaces. SpringerLink (Online service). http://link.springer.com/book/10.1007/978-3-8348-8159-5 Available for University of the Philippines Diliman via SpringerLink. Click here to access FO UPD DMLR QA 564 H23 2011eb Electronic Resource