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Vanishing cycles for non-archimedean analytic spaces
Author(s):
Vladimir
G.
Berkovich
Journal:
J. Amer. Math. Soc.
9
(1996),
1187-1209.
MSC (1991):
Primary 14F20, 32P05, 32S30
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References:
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- V. G. Berkovich, Spectral theory and analytic geometry over non-Archimedean fields, Mathematical Surveys and Monographs, vol. 33, Amer. Math. Soc., Providence, RI, 1990. MR 91k:32038
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- ------, Étale cohomology for non-Archimedean analytic spaces, Publ. Math. IHES 78 (1993), 5--161. MR 95c:14017
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- ------, On the comparison theorem for étale cohomology of non-Archimedean analytic spaces, Israel J. Math. 92 (1995), 45--60. CMP 96:03
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Additional Information:
Vladimir
G.
Berkovich
Affiliation:
Department of Theoretical Mathematics, The Weizmann Institute of Science, P.O.B. 26, 76100 Rehovot, Israel
Email:
vova@wisdom.weizmann.ac.il
DOI:
10.1090/S0894-0347-96-00214-7
PII:
S 0894-0347(96)00214-7
Keywords:
Algebraic geometry,
\'{e}tale cohomology,
$p$-adic analytic spaces
Received by editor(s):
July 11, 1993
Additional Notes:
The author is an Incumbent of the Reiter Family Career Development Chair.
Supported in part by NSF grant DMS-9100383.
Copyright of article:
Copyright
1996,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Berkovich, Vladimir G., Vanishing cycles for formal schemes. II, Invent. Math. 125 (1996), 367--390. MR 98k:14031
Berkovich, Vladimir G., $p$-adic analytic spaces, Doc. Math. Extra Vol. II (1998), 141--151. MR 99h:14026
Ramero, Lorenzo, On a class of étale analytic sheaves, J. Algebraic Geom. 7 (1998), 405--504. MR 2000b:14026
Berkovich, Vladimir G., Smooth $p$-adic analytic spaces are locally contractible, Invent. Math. 137 (1999), 1--84. MR 1 702 143
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