@incollection{SB_1995-1996__38__273_0, author = {Berthelot, Pierre}, title = {Alt\'erations de vari\'et\'es alg\'ebriques}, booktitle = {S\'eminaire Bourbaki : volume 1995/96, expos\'es 805-819}, series = {Ast\'erisque}, note = {talk:815}, pages = {273--311}, publisher = {Soci\'et\'e math\'ematique de France}, number = {241}, year = {1997}, mrnumber = {1472543}, zbl = {0924.14007}, language = {fr}, url = {http://archive.numdam.org/item/SB_1995-1996__38__273_0/} }
TY - CHAP AU - Berthelot, Pierre TI - Altérations de variétés algébriques BT - Séminaire Bourbaki : volume 1995/96, exposés 805-819 AU - Collectif T3 - Astérisque N1 - talk:815 PY - 1997 SP - 273 EP - 311 IS - 241 PB - Société mathématique de France UR - http://archive.numdam.org/item/SB_1995-1996__38__273_0/ LA - fr ID - SB_1995-1996__38__273_0 ER -
%0 Book Section %A Berthelot, Pierre %T Altérations de variétés algébriques %B Séminaire Bourbaki : volume 1995/96, exposés 805-819 %A Collectif %S Astérisque %Z talk:815 %D 1997 %P 273-311 %N 241 %I Société mathématique de France %U http://archive.numdam.org/item/SB_1995-1996__38__273_0/ %G fr %F SB_1995-1996__38__273_0
Berthelot, Pierre. Altérations de variétés algébriques, in Séminaire Bourbaki : volume 1995/96, exposés 805-819, Astérisque, no. 241 (1997), Talk no. 815, 39 p. http://archive.numdam.org/item/SB_1995-1996__38__273_0/
[EGA] Éléments de Géométrie Algébrique, Publ. Math. IHES 24 (1965). | Numdam | Zbl
,[SGA 4] Théorie des topos et cohomologie étale des schémas, t. 3, Lecture Notes in Math. 305, Springer-Verlag (1973). | MR | Zbl
, , ,[SGA 7] Groupes de monodromie en Géométrie Algébrique, t. 1, Lecture Notes in Math. 288, Springer-Verlag (1972). | MR | Zbl
, , ,[1] Smoothness, semi-stability and toroidal geometry, preprint (1996). | MR | Zbl
, ,[2] The implicit function theorem in algebraic geometry, in Algebraic Geometry, Proc. Bombay Coll., Tata Institute, Oxford University Press (1969), 13-34. | MR | Zbl
,[3] Degenerate fibers and reduction of curves, Topology 10 (1971), 373-383. | DOI | MR | Zbl
, ,[4] Géométrie rigide et cohomologie des variétés algébriques de caractéristique p, Journées d'analyse p-adique (1982),in , (ed.), Introduction aux cohomologies p-adiques, Bull. Soc. Math. France, Mémoire 23, p. 7-32 (1986). | EuDML | Numdam | MR | Zbl
,[5] Cohomologie rigide et cohomologie rigide à supports propres, Première partie (version provisoire 1991), Prépublication IRMAR 96-03, Université de Rennes (1996).
,[6] Finitude et pureté cohomologique en cohomologie rigide, avec un appendice par , Prépublication IRMAR, 95-35, Université de Rennes (1995). | MR
,[7] A simple constructive proof of canonical resolution of singularities, in , (ed.), Effective methods in Algebraic Geometry, Progress in Math. 94, Birkhäuser (1991), 11-30. | MR | Zbl
, ,[8] Weak Hironaka theorem, preprint (1996). | DOI | MR | Zbl
, ,[9] Stable reduction and uniformization of abelian varieties I, Math. Annalen 270 (1985), 349-379. | DOI | EuDML | MR | Zbl
, ,[10] Sur le théorème de l'indice des équations différentielles -adiques III, preprint (1995). | MR | Zbl
, ,[11] Théorie de Hodge III, Publ. Math. I.H.E.S. 44 (1975), 5-77. | DOI | EuDML | Numdam | MR | Zbl
,[12] Le lemme de Gabber, in (ed.), Séminaire sur les pinceaux arithmétiques : la conjecture de Mordell, Astérique 127 (1985), 131-150. | Numdam | MR | Zbl
,[13] The irreducibility of the space of curves of given genus, Publ. Math. I.H.E.S. 36 (1969), 75-109. | DOI | EuDML | Numdam | MR | Zbl
, ,[14] On the zeta function of a hypersurface: III, Annals of Math. 83 (1966),457-519. | DOI | MR | Zbl
,[15] Solutions d'équations à coefficients dans un anneau hensélien, Ann. Scient. École Norm. Sup. 6 (1973), 553-604. | DOI | EuDML | Numdam | MR | Zbl
,[16] Crystalline cohomology and -adic Galois representations, in (ed.), Algebraic Analysis, Geometry and Number Theory, John Hopkins Univ. Press (1989), 25-80. | MR | Zbl
,[17] Crystalline cohomology of semi-stable curves and -adic Galois representations, Journal of Alg. Geom. 1 (1992), 61-82. | MR | Zbl
,[18] The de Rham conjecture, preprint (1993).
,[19] Le corps des périodes -adiques, in Périodes -adiques, Séminaire de Bures 1988, Exp. II, Astérique 223 (1994), 59-111. | Numdam | MR | Zbl
,[20] Représentations -adiques semi-stables, in Périodes -adiques, Séminaire de Bures 1988, Exp. III, Astérique 223 (1994), 113-184. | MR | Zbl
,[21] -adic periods and -adic étale cohomology, Contemporary Mathematics 67 (1987), 179-207. | DOI | MR | Zbl
, ,[22] Intersection theory, Ergebnisse der Math. 2, 3. Folge, Springer-Verlag (1984). | MR | Zbl
,[23] Non negativity of Serre's intersection multiplicities, exposé à l'IHES, décembre 1995.
,[24] -théorie et nullité des multiplicités d'intersection, C. R. Acad. Sc. Paris 300 (1985), 71-74. | MR | Zbl
, ,[25] Intersection theory using Adams operations, Inventiones Math. 90 (1987), 243-277. | DOI | EuDML | MR | Zbl
, ,[26] Crystals and the de Rham cohomology of schemes (IHES, Décembre 1966),notes by and , in Dix exposés sur la cohomologie des schémas, North-Holland (1968). | MR | Zbl
,[27] On the de Rham cohomology of algebraic varieties, Publ. Math. IHES 45 (1976), 5-99. | EuDML | Numdam | MR | Zbl
,[28] Resolution of singularities of an algebraic variety over a field of characteristic zero : I, II, Annals of Math. 79 (1964), 109-326. | DOI | MR | Zbl
,[29] Cohomologie de de Rham et cohomologie étale -adique, Séminaire Bourbaki 1989-90, Exp. 726, Astérique 189-190 (1990), 325-374. | EuDML | Numdam | MR | Zbl
,[30] Autour du théorème de monodromie locale, in Périodes -adiques, Séminaire de Bures 1988, Exp. I, Astérique 223 (1994), 9-57. | MR | Zbl
,[31] Smoothness, semi-stability and alterations, Preprint 916, University Utrecht (1995), à paraître aux Publ. Math. IHES. | Numdam | MR | Zbl
,[32] Families of curves and alterations, preprint (1996). | Numdam | MR | Zbl
,[33] Théorèmes de Bertini et applications, Progress in Math. 42, Birkhäuser (1983). | MR | Zbl
,[34] Semi-stable reduction and -adic étale cohomology, in Périodes -adiques, Séminaire de Bures 1988, Exp. VI, Astérique 223 (1994), 269-293. | Numdam | MR | Zbl
,[35] Syntomic cohomology and -adic étale cohomology, Tôhoku Math. Journal 44 (1992), 1-9. | DOI | MR | Zbl
, ,[36] Toroidal Embeddings I, Lecture Notes in Math. 339, Springer-Verlag (1973). | MR | Zbl
, , , ,[37] Intersection theory and enumerative geometry : a decade in review, Proc. of Symp. in Pure Math. 46 (1987), p. 321-370. | DOI | MR | Zbl
, with the collab. of ,[38] The projectivity of the moduli space of stable curves, II, III, Math. Scand. 52 (1983), 161-212. | DOI | EuDML | MR | Zbl
,[39] Algebraic spaces, Lecture Notes in Math. 203, Springer-Verlag (1971). | MR | Zbl
,[40] Commutative Algebra, Benjamin (1970). | MR | Zbl
,[41] A propos du théorème de finitude pour la cohomologie -adique, exposé au Sém. de Géométrie Algébrique, Rennes, mai 1994.
,[42] Formal cohomology: I, Annals of Math. 88 (1968), 181-217. | DOI | MR | Zbl
, ,[43] Formal cohomology: II. The cohomology sequence of a pair, Annals of Math. 88 (1968), 218-238. | DOI | MR | Zbl
,[44] Finiteness of de Rham cohomology, Amer. Journal of Math. 94 (1972), 237-245. | DOI | MR | Zbl
,[45] Geometric Invariant Theory, Ergebnisse der Math. 34, Springer-Verlag (1982). | MR | Zbl
, ,[46] Stability of projective varieties, L'Ens. Math. 24 (1977), 39-110. | MR | Zbl
,[47] Nearby cycles for log smooth families, preprint 94-70, Univ. Tokyo (1994). | MR | Zbl
,[48] Dimension cohomologique finie et cohomologie locale, Publ. Math. IHES 42 (1973), 47-119. | EuDML | Numdam | MR | Zbl
, ,[49] Moduli of curves with non-abelian level structure, in , , (ed.), The moduli spaces of curves, Progress in Math. 129, Birkhäuser (1995), 483-509. | MR | Zbl
, ,[50] Moduli theory and classification theory of algebraic varieties, Lecture Notes in Math. 620, Springer-Verlag (1977). | MR | Zbl
,[51] Über die lokale Zetafunktion von Shimura-varietäten, Monodromiefiltration und verschwindende Zyklen in ungleicher Characteristik, Inventiones Math. 68 (1982), 21-201. | DOI | EuDML | MR | Zbl
, ,[52] Critères de platitude et de projectivité, Inventiones Math. 13 (1971), 1-89. | DOI | EuDML | MR | Zbl
, ,[53] The vanishing of intersection multiplicities of perfect complexes, Bull. Amer. Math. Soc. 13 (1985), 127-130. | DOI | MR | Zbl
,[54] Intersection theory and the homological conjectures, Proc. Int. Cong. Math., Kyoto 1990, Springer-Verlag (1991), 361-368. | MR | Zbl
,[55] Algèbre locale, Multiplicités, Lecture Notes in Math. 11, Troisième édition, Springer-Verlag (1975). | MR | Zbl
,[56] Syntomic complexes and -adic vanishing cycles, J. reine angew. Math. 472 (1996), 69-138. | EuDML | MR | Zbl
,[57] On syntomic cohomology of higher degree of a semi-stable family, preprint 606-01, RIMS, Kyoto (1995).
,[58] Resolution of singularities, preprint (1994).
,[59] Constructiveness of Hironaka's resolution, Ann. Scient. École Norm. Sup. 22 (1989), 1-32. | DOI | EuDML | Numdam | MR | Zbl
,