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Support varieties for infinitesimal group schemes
Authors:
Andrei Suslin, Eric M. Friedlander and Christopher P. Bendel
Journal:
J. Amer. Math. Soc. 10 (1997), 729-759
MSC (1991):
Primary 14L15, 20C20, 20G10; Secondary 17B50
MathSciNet review:
1443547
Full-text PDF Free Access
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Additional Information
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- J. Carlson, The variety of an indecomposable module is connected, Inventiones Math. 77 (1984), 291-299. MR 86b:20009
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- L. Evens, The Cohomology of Groups (Oxford Univ. Press, ed.), 1991. MR 93i:20059
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- E. Friedlander and B. Parshall, Cohomology of Lie algebras and algebraic groups, Amer. J. Math. 108 (1986), 235-253. MR 87c:20080
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- E. Friedlander and B. Parshall, Support varieties for restricted Lie algebras, Inventiones Math. 86 (1986), 553-562. MR 88f:17018
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- E. Friedlander and A. Suslin, Cohomology of finite group schemes over a field, Inventiones Math. 127 (1997), 209-270. CMP 97:06
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- J. Jantzen, Kohomologie von
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in characteristic 2, J.P.A.A. 14 (1979), 39-49. MR 81h:20050
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right derived functor algebras of the symmetric algebra functor, J.P.A.A. 3 (1973), 337-356. MR 49:7338
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- J.-P. Serre, Sur la dimension cohomologique des groupes profinis, Topology 3 (1965), 413-420. MR 31:4853
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- A. Suslin, E. Friedlander, and C. Bendel, Infinitesimal 1-parameter subgroups and cohomology, Journal of the American Mathematical Society (this volume).
- [SGA1]
- A.Grothendieck, Revêtements Étales et Groupe Fondamental (Springer Verlag, LNM 224, ed.), 1971. MR 50:7129
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Additional Information
Andrei Suslin
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email:
suslin@math.nwu.edu
Eric M. Friedlander
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email:
eric@math.nwu.edu
Christopher P. Bendel
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email:
bendelmath.nwu.edu
DOI:
http://dx.doi.org/10.1090/S0894-0347-97-00239-7
PII:
S 0894-0347(97)00239-7
Keywords:
Infinitesimal group schemes,
support varieties,
1-parameter subgroups.
Received by editor(s):
October 25, 1996
Received by editor(s) in revised form:
March 20, 1997
Additional Notes:
The first author was partially supported by I.S.F. grant 0100 and N.S.F. grant DMS - 9510242.
The second author was partially supported by the N.S.F. and the Humboldt Foundation.
Article copyright:
© Copyright 1997 American Mathematical Society
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