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Jet cohomology of Isolated Hypersurface Singularities and Spectral Sequences
Author(s):
Xiao
Er
Jian
Journal:
Trans. Amer. Math. Soc.
349
(1997),
547-577.
MSC (1991):
Primary 32S05;
Secondary 14B05
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Abstract:
We study jet cohomology of isolated hypersurface singularities defined by partial differential forms and prove formulas to compute jet cohomology groups by linear algebra.
References:
- 1.
- Saito K, Quasihomogene isolierte Singularitaten von Hyperflachen, Inventiones Math. 14 (1971), 123-142. MR 45:3767
- 2.
- Xiao Er Jian, On Cohomology of Singularities of
 Mappings, Math. Ann. 262 (1983), 255-272. MR 88f:58004 - 3.
- Xiao Er Jian, On the First Kind of Relative k-jet Cohomology of Singularities of Mapgerms, Chinese Ann. Math. 7B (1986). MR 88f:58002
- 4.
- Xiao Er Jian, On the Second Kind of Relative k-jet Cohomology of Isolated Singularities of Mappings (in Chinese), Acta Mathematica Sinica 29 (1986). MR 88i:58020
- 5.
- Xiao Er Jian, On Cohomology of Complete Intersections with Isolated Singularities (2) (in Chinese), Chinese Ann. of Math. 12A:2 (1991), 137-144. MR 92k:32066
- 6.
- Xiao Er Jian, On Cohomology of Complete Intersections with Isolated Singularities (3) (in Chinese), Acta Mathematica Sinica 36 (1993). MR 95d:32041
- 7.
- Xiao Er Jian, On the Contact Cohomology of Isolated Hypersurface Singularities, Chinese Ann. of Math. 14B (1993), 497-506. MR 95b:58022
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Additional Information:
Xiao
Er
Jian
Affiliation:
Institute of Mathematics, Fudan University, Shanghai 200433, China
DOI:
10.1090/S0002-9947-97-01689-9
PII:
S 0002-9947(97)01689-9
Received by editor(s):
August 1, 1994
Copyright of article:
Copyright
1997,
American Mathematical Society
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