Geometric aspects of Dwork theory. Vol. I, II. (English) Zbl 1047.14001

Berlin: Walter de Gruyter (ISBN 3-11-017478-2/hbk). xiv, 1129 p. (2004).

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The articles of this volume will be reviewed individually.
Indexed articles:
Adolphson, Alan, Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action, 1-42 [Zbl 1100.11024]
Adolphson, Alan; Sperber, Steven, Exponential sums and free hyperplane arrangements, 43-54 [Zbl 1096.11042]
André, Yves, On the Grothendieck-Katz \(p\)-curvature conjecture and a problem of Dwork, 55-112 [Zbl 1102.12004]
Andreatta, Fabrizio; Goren, Eyal Z., Hilbert modular varieties of low dimension, 113-175 [Zbl 1118.11025]
Baldassarri, Francesco; Berthelot, Pierre, On Dwork cohomology for singular hypersurfaces, 177-244 [Zbl 1117.14022]
Baldassarri, Francesco; d’Agnolo, Andrea, On Dwork cohomology and algebraic \({\mathcal D}\)-modules, 245-253 [Zbl 1061.32022]
Berger, Laurent, An introduction to the theory of \(p\)-adic representations, 255-292 [Zbl 1118.11028]
Berkovich, Vladimir G., Smooth \(p\)-adic analytic spaces are locally contractible. II, 293-370 [Zbl 1060.32010]
Bost, Jean-Benoît, Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems, 371-418 [Zbl 1067.14021]
Christol, Gilles, Thirty years later, 419-436 [Zbl 1095.12003]
Coleman, Robert F.; Stein, William A., Approximation of eigenforms of infinite slope by eigenforms of finite slope, 437-449 [Zbl 1101.11015]
Crew, Richard, Crystalline cohomology of singular varieties, 451-462 [Zbl 1084.14511]
d’Agnolo, Andrea; Polesello, Pietro, Stacks of twisted modules and integral transforms, 463-507 [Zbl 1107.14002]
Denef, Jan; Loeser, François, On some rational generating series occuring in arithmetic geometry, 509-526 [Zbl 1061.11067]
Dimitrov, Mladen, Arithmetic compactifications of Hilbert varieties and Hilbert modular forms for \(\Gamma_ 1(\mathfrak c,\mathfrak n)\), 527-554 [Zbl 1076.14029]
Dimitrov, Mladen; Tilouine, Jacques, Arithmetic Hilbert modular varieties and forms for \(\Gamma_1({\mathfrak c},{\mathfrak n})\), 555-614 [Zbl 1127.11036]
Di Vizio, Lucia, Introduction to \(p\)-adic \(q\)-difference equations (weak Frobenius structure and transfer theorems), 615-675 [Zbl 1070.12004]
Emerton, Matthew; Kisin, Mark, An introduction to the Riemann-Hilbert correspondence for unit \(F\)-crystals, 677-700 [Zbl 1104.14012]
Etesse, Jean-Yves, Introduction to \(L\)-functions of \(F\)-isocrystals, 701-710 [Zbl 1069.14024]
Gabber, Ofer, Notes on some \(t\)-structures, 711-734 [Zbl 1074.14018]
Hida, Haruzo, Non-vanishing modulo \(p\) of Hecke \(L\)-values, 735-784 [Zbl 1162.11342]
Illusie, Luc, On semistable reduction and the calculation of nearby cycles, 785-803 [Zbl 1081.14026]
Katz, Nicholas M.; Pandharipande, Rahul, Inequalities related to Lefschetz pencils and integrals of Chern classes, 805-818 [Zbl 1092.14016]
Kedlaya, Kiran S., Full faithfulness for overconvergent \(F\)-isocrystals, 819-835 [Zbl 1087.14018]
Le Stum, Bernard, Frobenius action, \(F\)-isocrystals and slope filtration, 837-843 [Zbl 1063.14022]
Matsuda, Shigeki, Conjecture on Abbes-Saito filtration and Christol-Mebkhout filtration, 845-856 [Zbl 1174.11406]
Noot-Huyghe, Christine, Fourier transform of arithmetic \({\mathcal D}\)-modules. I, 857-907 [Zbl 1126.14016]
Terasoma, Tomohide, Boyarsky principle for \({\mathcal D}\)-modules and Loeser’s conjecture, 909-930 [Zbl 1065.12002]
Tsuzuki, Nobuo, Cohomological descent in rigid cohomology, 931-981 [Zbl 1073.14026]
Vidal, Isabelle, Local monodromy and zeta-functions of log schemes, 983-1038 [Zbl 1071.14025]
Virrion, Anne, Trace and relative duality for arithmetic \({\mathcal D}\)-modules, 1039-1112 [Zbl 1083.14017]
Wan, Daqing, Geometric moment zeta functions, 1113-1129 [Zbl 1071.11038]

MSC:

14-06	Proceedings, conferences, collections, etc. pertaining to algebraic geometry
11-06	Proceedings, conferences, collections, etc. pertaining to number theory
00B15	Collections of articles of miscellaneous specific interest