LEADER 03520nam 22006855 450 001 996202532703316 005 20200706043925.0 010 $a3-319-04417-6 024 7 $a10.1007/978-3-319-04417-0 035 $a(CKB)3710000000227342 035 $a(SSID)ssj0001338765 035 $a(PQKBManifestationID)11796891 035 $a(PQKBTitleCode)TC0001338765 035 $a(PQKBWorkID)11344689 035 $a(PQKB)11262443 035 $a(DE-He213)978-3-319-04417-0 035 $a(MiAaPQ)EBC6304169 035 $a(MiAaPQ)EBC5592751 035 $a(Au-PeEL)EBL5592751 035 $a(OCoLC)889288749 035 $a(PPN)180625829 035 $a(EXLCZ)993710000000227342 100 $a20140822d2014 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLectures on Formal and Rigid Geometry$b[electronic resource] /$fby Siegfried Bosch 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (VIII, 254 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2105 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-04416-8 320 $aIncludes bibliographical references and index. 327 $aClassical 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 -- Index. 330 $aA first version of this work appeared in 2005 as a Preprint of the Collaborative Research Center "Geometrical Structures in Mathematics" at the University of Münster. Its aim was to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of the original preprint and has been published at the suggestion of several experts in the field. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2105 606 $aMathematics 606 $aAlgebraic geometry 606 $aNumber theory 606 $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aMathematics. 615 0$aAlgebraic geometry. 615 0$aNumber theory. 615 14$aMathematics, general. 615 24$aAlgebraic Geometry. 615 24$aNumber Theory. 676 $a516.35 700 $aBosch$b Siegfried$4aut$4http://id.loc.gov/vocabulary/relators/aut$041946 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996202532703316 996 $aLectures on formal and rigid geometry$91392287 997 $aUNISA