LEADER 02386nam a2200349 i 4500 001 991003263579707536 008 160728s2014 sz a b 001 0 eng d 020 $a9783319044163 035 $ab14305422-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a516.35$223 084 $aAMS 14G22 084 $aAMS 11S85 084 $aAMS 14-02 084 $aAMS 14D15 084 $aLC QA564.B67 100 1 $aBosch, Siegfried$041946 245 10$aLectures on formal and rigid geometry /$cSiegfried Bosch 260 $aCham [Switzerland] :$bSpringer,$cc2014 300 $aviii, 254 p. :$bill. ;$c24 cm 440 0$aLecture notes in mathematics,$x0075-8434 ;$v2105 504 $aIncludes bibliographical references and index 505 0 $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 520 $aA first version of this work appeared in 2005 as a Preprint of the Collaborative Research Center "Geometrical Structures in Mathematics" at the University of Münster. Its aim was to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of the original preprint and has been published at the suggestion of several experts in the field 650 0$aGeometry, Algebraic 650 0$aAnalytic spaces 907 $a.b14305422$b11-11-16$c28-07-16 912 $a991003263579707536 945 $aLE013 14G BOS11 (2014)$g1$i2013000293486$lle013$op$pE46.79$q-$rl$s- $t0$u1$v0$w1$x0$y.i15787047$z11-11-16 996 $aLectures on formal and rigid geometry$91392287 997 $aUNISALENTO 998 $ale013$b28-07-16$cm$da $e-$feng$gsz $h0$i0