Serre duality on complex supermanifolds
Carl Haske and R. O. Wells, Jr.
Source: Duke Math. J. Volume 54, Number 2 (1987), 493-500.
First Page PDF: View first page of article (PDF, 113 KB)Primary Subjects: 32L10
Secondary Subjects: 32C37
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077305669
Mathematical Reviews number (MathSciNet):
MR899403
Zentralblatt MATH identifier:
0628.32012
Digital Object Identifier: doi:10.1215/S0012-7094-87-05421-4
References
[1] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience [John Wiley & Sons], New York, 1978.
Mathematical Reviews (MathSciNet):
MR80b:14001
Zentralblatt MATH:
0408.14001
[2] Robin Hartshorne, Residues and duality, Lecture notes of a seminar on the work of A. Grothendieck, given at Harvard 1963/64. With an appendix by P. Deligne. Lecture Notes in Mathematics, No. 20, Springer-Verlag, Berlin, 1966.
Mathematical Reviews (MathSciNet):
MR36:5145
Zentralblatt MATH:
0212.26101
[3] D. A. Leites, Introduction to the theory of supermanifolds, Russian Math. Surveys 35 (1980), no. 1, 3–64.
Zentralblatt MATH:
0462.58002
Mathematical Reviews (MathSciNet):
MR565567
[4] Yu. I. Manin, Kalibrovochnye polya i kompleksnaya geometriya, “Nauka”, Moscow, 1984.
Mathematical Reviews (MathSciNet):
MR86m:32001
Zentralblatt MATH:
0576.53002
[5] O. V. Ogijevetsky and I. B. Penkov, Serre duality for projective supermanifolds, Funktsional. Anal. i Prilozhen. 18 (1984), no. 1, 78–79.
Mathematical Reviews (MathSciNet):
MR85g:32013
Zentralblatt MATH:
0563.58007
[6] I. B. Penkov, ${\cal D}$-modules on supermanifolds, Invent. Math. 71 (1983), no. 3, 501–512.
Mathematical Reviews (MathSciNet):
MR85b:32015
Zentralblatt MATH:
0528.32012
Digital Object Identifier: doi:10.1007/BF02095989
[7] I. B. Penkov, An introduction to geometric representation theory for complex simple Lie superalgebras, Differential geometric methods in theoretical physics (Shumen, 1984), World Sci. Publishing, Singapore, 1986, pp. 89–106.
Mathematical Reviews (MathSciNet):
MR87k:17007
[8] Mitchell J. Rothstein, Integration on noncompact supermanifolds, Trans. Amer. Math. Soc. 299 (1987), no. 1, 387–396.
Mathematical Reviews (MathSciNet):
MR88h:58022
Zentralblatt MATH:
0611.58014
Digital Object Identifier: doi:10.2307/2000500
JSTOR: links.jstor.org
[9] Walter Rudin, Functional Analysis, International Series in Pure and Applied Mathematics, McGraw-Hill Inc., New York, 1991.
Mathematical Reviews (MathSciNet):
MR92k:46001
Zentralblatt MATH:
0867.46001
[10] J.-P. Serre, Un théorème de dualité, Comment. Math. Helv. 29 (1955), 1–26.
Mathematical Reviews (MathSciNet):
MR16,736d
Zentralblatt MATH:
0067.16101
Digital Object Identifier: doi:10.1007/BF02564268
[11] R. O. Wells, Jr., Differential analysis on complex manifolds, Graduate Texts in Mathematics, vol. 65, Springer-Verlag, New York, 1980.
Mathematical Reviews (MathSciNet):
MR83f:58001
Zentralblatt MATH:
0435.32004
Duke Mathematical Journal