LEADER 04886nam 2200697Ia 450 001 9910816266803321 005 20240416121944.0 010 $a1-282-19438-0 010 $a9786612194382 010 $a3-11-019813-4 024 7 $a10.1515/9783110198133 035 $a(CKB)1000000000335195 035 $a(EBL)314072 035 $a(OCoLC)232160505 035 $a(SSID)ssj0000162005 035 $a(PQKBManifestationID)11182531 035 $a(PQKBTitleCode)TC0000162005 035 $a(PQKBWorkID)10200859 035 $a(PQKB)11311979 035 $a(MiAaPQ)EBC314072 035 $a(DE-599)GBV587951583 035 $a(DE-B1597)32332 035 $a(OCoLC)979837888 035 $a(DE-B1597)9783110198133 035 $a(Au-PeEL)EBL314072 035 $a(CaPaEBR)ebr10194888 035 $a(CaONFJC)MIL219438 035 $a(PPN)175517649 035 $a(EXLCZ)991000000000335195 100 $a20040513d2004 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aGeometric aspects of Dwork theory /$fedited by Alan Adolphson ... [et al.] 205 $a1st ed. 210 $aBerlin ;$aNew York $cW. de Gruyter$d2004 215 $a1 online resource (568 p.) 225 0 $aDe Gruyter Proceedings in Mathematics 300 $aDescription based upon print version of record. 311 0 $a3-11-017478-2 320 $aIncludes bibliographical references. 327 $tGeometric Aspects of Dwork Theory. Volume I --$tFront matter --$tTable of Contents of Volume I --$tThe Mathematical Publications of Bernard Dwork --$tExponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action --$tExponential sums and free hyperplane arrangements --$tSur la conjecture des p-courbures de Grothendieck-Katz et un problème de Dwork --$tHilbert modular varieties of low dimension --$tOn Dwork cohomology for singular hypersurfaces --$tOn Dwork cohomology and algebraic D-modules --$tAn introduction to the theory of p-adic representations --$tSmooth p-adic analytic spaces are locally contractible. II --$tGerms of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems --$tThirty years later --$tApproximation of eigenforms of infinite slope by eigenforms of finite slope --$tCrystalline cohomology of singular varieties --$tStacks of twisted modules and integral transforms --$tOn some rational generating series occuring in arithmetic geometry --$tCompactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour ?1(c, n) --$tGeometric Aspects of Dwork Theory. Volume II --$tFr -ont matter$tTable of Contents of Volume II --$tVariétés et formes modulaires de Hilbert arithmétiques pour ?1(c, n) --$tIntroduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems) --$tAn introduction to the Riemann-Hilbert correspondence for unit F-crystals --$tIntroduction to L-functions of F-isocrystals --$tNotes on some t-structures --$tNon-vanishing modulo p of Hecke L-values --$tOn semistable reduction and the calculation of nearby cycles --$tInequalities related to Lefschetz pencils and integrals of Chern classes --$tFull faithfulness for overconvergent F-isocrystals --$tFrobenius action, F-isocrystals and slope filtration --$tConjecture on Abbes-Saito filtration and Christol-Mebkhout filtration --$tTransformation de Fourier des D-modules arithmétiques I --$tBoyarsky principle for D-modules and Loeser's conjecture --$tCohomological descent in rigid cohomology --$tMonodromie locale et fonctions Zêta des log schémas --$tTrace et dualité relative pour les D-modules arithmétiques --$tGeometric moment zeta functions 330 $aThis two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of thep-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms. The two volumes contain both important new research and illuminating survey articles 410 3$aDe Gruyter Proceedings in Mathematics 606 $aGeometry, Algebraic 606 $aNumber theory 606 $ap-adic analysis 615 0$aGeometry, Algebraic. 615 0$aNumber theory. 615 0$ap-adic analysis. 676 $a516.3/5 701 $aAdolphson$b Alan$f1951-$060278 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910816266803321 996 $aGeometric aspects of Dwork theory$94044095 997 $aUNINA