Cohomological descent of rigid cohomology for étale coverings
Bruno Chiarellotto; Nobuo Tsuzuki
Rendiconti del Seminario Matematico della Università di Padova (2003)
- Volume: 109, page 63-215
- ISSN: 0041-8994
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topChiarellotto, Bruno, and Tsuzuki, Nobuo. "Cohomological descent of rigid cohomology for étale coverings." Rendiconti del Seminario Matematico della Università di Padova 109 (2003): 63-215. <http://eudml.org/doc/108608>.
@article{Chiarellotto2003,
author = {Chiarellotto, Bruno, Tsuzuki, Nobuo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {63-215},
publisher = {Seminario Matematico of the University of Padua},
title = {Cohomological descent of rigid cohomology for étale coverings},
url = {http://eudml.org/doc/108608},
volume = {109},
year = {2003},
}
TY - JOUR
AU - Chiarellotto, Bruno
AU - Tsuzuki, Nobuo
TI - Cohomological descent of rigid cohomology for étale coverings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2003
PB - Seminario Matematico of the University of Padua
VL - 109
SP - 63
EP - 215
LA - eng
UR - http://eudml.org/doc/108608
ER -
References
top- [1] M. ARTIN - A. GROTHENDIECK - J. L. VERDIER, Théorie des topos et cohomologie étale des schémas II, SGA4, Lecture Notes in Math., 270 (1972), Springer-Verlag. MR354653
- [2] P. BERTHELOT, Cohomologie cristalline des schémas de caractéristique pD0, Lecture Notes in Math., 407 (1974), Springer-Verlag. Zbl0298.14012MR384804
- [3] P. BERTHELOT, Géométrie rigide et cohomologie des variété algébriques de caractéristique p, Bull. Soc. Math. France, Mémoire, 23 (1986), pp. 7-32. Zbl0606.14017MR865810
- [4] P. BERTHELOT, Finitude et pureté cohomologique en cohomologie rigide (avec un appendice par Aise Johan de Jong), Invent. Math., 128 (1997), pp. 329-377. Zbl0908.14005MR1440308
- [5] P. BERTHELOT, Dualité de Poincaré et formule de Künneth en cohomologie rigide, C. R. Acad. Sci. Paris, 325, Série I (1997), pp. 493-498. Zbl0908.14006MR1692313
- [6] P. BERTHELOT, A note on «Cohomologie rigide» (1989).
- [7] P. BERTHELOT, Cohomologie rigide et cohomologie rigide à supports propres Première Partie, preprint 96-03, Université de Rennes (1996). MR865810
- [8] S. BOSCH - U. GÜNTZER - R. REMMERT, Non-Archimedean Analysis, Grundlehren der math. Wissenschaften 261, Springer-Verlag 1984. Zbl0539.14017MR746961
- [9] A. GROTHENDIECK, Sur quelques points d’algèbre homologique, Tôhoku Math. J., 9 (1957), pp. 119-221. Zbl0118.26104MR102537
- [10] A. GROTHENDIECK, Revêtements Etales et Groupe Fondamental, SGA1, Lecture Notes in Math., 224 (1971), Springer-Verlag. MR354651
- [11] A. GROTHENDIECK - J. DIEUDONNÉ, Eléments de Géométrie Algébrique I, Grundlehren der math. Wissenschaften 166, Springer-Verlag 1971. Zbl0203.23301
- [12] L. GRUSON - M. RAYNAUD, Critéres de platitude et de projectivité, Invent. Math., 13 (1971), pp. 1-89. Zbl0227.14010MR308104
- [13] P. GABRIEL - M. ZISMAN, Calculus of Fractions and Homotopy theory, Ergebnisse der Math. und Ihrer Grenzgebiete, band 35 (1967). Zbl0186.56802MR210125
- [14] R. HARTSHORNE, Algebraic Geometry, Graduate texts in Math. 52, SpringerVerlag (1977). Zbl0367.14001MR463157
- [15] L. ILLUSIE, Complexe cotangent et déformations II, Lecture Notes in Math., 283 (1972), Springer-Verlag. Zbl0238.13017MR491681
- [16] R. KIEHL, Theorem A und Theorem B in der nichtarchimedischen Funktionentheories, Invent. Math., 2 (1967), pp. 256-273. Zbl0202.20201MR210949
- [17] Z. MEBKHOUT, Sur le théorème de finitude de la cohomologie p-adique d’une variété affine non singulière, Amer. J. Math., 119 (1997), pp. 1027-1081. Zbl0926.14007MR1473068
- [18] J. S. MILNE, Étale cohomology, Princeton University Press, 1980. Zbl0433.14012MR559531
- [19] M. NAGATA, A generalization of the imbedding problem of an abstract variety in a complete variety, J. Math. Kyoto Univ., 3 (1963), pp. 89-102. Zbl0223.14011MR158892
- [20] M. RAYNAUD, Géométrie analytique rigide, Bull. Soc. Math. France, Mémoire, 39-40 (1974), pp. 319-327. Zbl0299.14003MR470254
- [21] J. TATE, Rigid analytic spaces, Invent. Math., 12 (1971), pp. 257-289. Zbl0212.25601MR306196
- [22] N. TSUZUKI, Cohomological descent in rigid cohomology, to appear in the volume for the Dwork Trimester in Italy. Zbl1073.14026MR2099093
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