Some properties of the signature of complete intersections
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- by A. Libgober PDF
- Proc. Amer. Math. Soc. 79 (1980), 373-375 Request permission
Abstract:
We prove that: (1) The signature of complete intersections is a monotone function of degrees of defining equations. (2) The signature of n-dimensional complete intersection (except for ${\mathbf {C}}{{\mathbf {P}}^n}$) is positive for $n \equiv 0 \pmod 4$ and is negative for $n \equiv 2 \pmod 4$.References
- F. Hirzebruch, Topological methods in algebraic geometry, Third enlarged edition, Die Grundlehren der mathematischen Wissenschaften, Band 131, Springer-Verlag New York, Inc., New York, 1966. New appendix and translation from the second German edition by R. L. E. Schwarzenberger, with an additional section by A. Borel. MR 0202713
- John W. Wood, A connected sum decomposition for complete intersections, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 191–193. MR 520536
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 373-375
- MSC: Primary 14B05; Secondary 14M10, 57R19
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567975-9
- MathSciNet review: 567975