02579nam a2200409 i 4500991003264739707536m o d cr cnu 160728s2014 sz a ob 001 0 eng d9783319044170b1430563x-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng516.3523AMS 14G22AMS 11S85AMS 14-02AMS 14D15LC QA564.B67Bosch, Siegfried41946Lectures on formal and rigid geometry[e-book] /Siegfried BoschCham [Switzerland] :Springer,c20141 online resource (viii, 254 pages)Lecture Notes in Mathematics,1617-9692 ;2105Includes bibliographical references and indexClassical rigid geometry ;Tate algebras ; Affinoid algebras and their associated spaces ; affinoid functions ; Towards the notion of rigid spaces ; Coherent sheaves on rigid spaces ; Formal geometry ; Adic rings and their associated formal schemes -- Raynaud's view on rigid spaces ; More advanced stuff ; Appendix ; References ; IndexA first version of this work appeared in 2005 as a Preprint of the Collaborative Research Center "Geometrical Structures in Mathematics" at the University of Münster. Its aim was to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of the original preprint and has been published at the suggestion of several experts in the fieldAnalytic spacesGeometry, AlgebraicAnalytic spacesSpringer eBooksPrinted edition:9783319044163http://link.springer.com/book/10.1007/978-3-319-04417-0An electronic book accessible through the World Wide Web.b1430563x03-03-2229-07-16991003264739707536Lectures on formal and rigid geometry1392287UNISALENTOle01328-07-16m@ -engsz 00