By F. A. Bogomolov, A. N. Landia (auth.), H. Kurke, J. H. M. Steenbrink (eds.)
ISBN-10: 9400906854
ISBN-13: 9789400906853
ISBN-10: 9401067937
ISBN-13: 9789401067935
The convention on Algebraic Geometry, held in Berlin 9-15 March 1988, was once organised by way of the Sektion Mathematik of the Humboldt-Universitat. The setting up committee consisted of H. Kurke, W. Kleinert, G. Pfister and M. Roczen. The convention is one in a chain organised via the Humboldt-Universitat at standard durations of 2 or 3 years, with the aim of offering a gathering position for mathematicians from jap and western international locations. the current quantity comprises embellishments of a part of the lectures offered on the convention and a few articles on similar matters. All papers have been topic to the ordinary refereeing strategy of Compositio Mathematica, and H. Kurke acted as a visitor editor of this magazine. The papers specialise in real subject matters in algebraic geometry and singularity concept, equivalent to vector bundles, arithmetical algebraic geometry, intersection conception, moduli and Hodge thought. we're thankful to all those that, via their hospitality, their presence on the Con ference, their help or their written contributions, have made this convention to successful. The editors Compositio Mathematica seventy six: viii, 1990.
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Additional resources for Algebraic Geometry: Proceedings of the Conference at Berlin 9–15 March 1988
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Proof We have to show that both sides of this equality yield the same result when applied to an element W = w 1 + ... + wp E Hk(Cf)c as above. Since these computations are rather tedious, we treat here only the case p = 2 and let the reader check that the general case is completely similar. ). The condition DfW = 0 is equaivalent to (i) df /\ w 2 = 0 (ii) df /\ w 1 = dW 2 (iii) 0 = dw 1 . On the Milnor fibrations of weighted homogeneous polynomials 27 It is easy to see that To compute the residue of this element we proceed as follows.
Ann. 214, (1975) 221-234. 15. M. Kato, Y. Matsumoto, On the connectivity of the Milnor fiber of a holomorphic function at a critical point. In: Manifolds, Proceedings Tokyo 1973, pp. 131-136, Univ. ofTokyo Press 1975. 16. J. McClearly, User's Guide to Spectral Sequences, Publish or Perish: 1985. 17. M. Oka, On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials. Topology 12, (1973) 19-32. 18. M. Oka, On the cohomology structure of projective varieties. In: Manifolds, Proceedings Tokyo 1973, pp.
Then multiplication by df becomes a map of degree 0 and one has P(t) = L (-1t+ l-k p(Qk)(t) k=O,n+ 1 where p(Qk) is the Poincare series of Qk with respect to this new grading [22]. Then it is obvious that
Algebraic Geometry: Proceedings of the Conference at Berlin 9–15 March 1988 by F. A. Bogomolov, A. N. Landia (auth.), H. Kurke, J. H. M. Steenbrink (eds.)
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