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Formal meromorphic functions and cohomology on an algebraic variety

Published online by Cambridge University Press:  22 January 2016

Robert Speiser*
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
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Let X be a projective Gorenstein variety, YX a proper closed subscheme such that X is smooth at all points of Y, so that the formal completion of X along Y is regular.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

[CDAV] Hartshorne, R., Cohomological dimension of algebraic varieties, Ann. of Math., 88 (1968), 403450.Google Scholar
[ASAV] Hartshorne, R., Ample subvarieties of algebraic varieties, Springer Lecture Notes in Mathematics, No. 156 (1970).CrossRefGoogle Scholar
[AG] Hartshorne, R., Algebraic Geometry, Berlin, Heidelberg and New York 1977.Google Scholar
[HM] Hironaka, H. and Matsumura, H., Formal functions and formal embeddings, J. Math. Soc. Japan, 30 (1968), 5282.Google Scholar
[K] Kleiman, S. L., On the vanishing of Hn(X,F) for an n-dimensional variety, Proc. AMS, 18 (1967), 940944.Google Scholar
[S1] Speiser, R., Cohomological dimension and Abelian varieties, Am. J. Math., 95 (1973), 134.Google Scholar
[S2] Speiser, R., Cohomological dimension of noncomplete hypersurfaces, Inv. Math., 21 (1973),143150.CrossRefGoogle Scholar