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Blowing up Chern Classes

Published online by Cambridge University Press:  24 October 2008

I. R. Porteous
I. R. Porteous
Affiliation:
Trinity CollegeCambridge
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Extract

The behaviour of the Chern classes or of the canonical classes of an algebraic variety under a dilatation has been studied by several authors (Todd (8)–(11), Segre (5), van de Ven (12)). This problem is of interest since a dilatation is the simplest form of birational transformation which does not preserve the underlying topological structure of the algebraic variety. A relation between the Chern classes of the variety obtained by dilatation of a subvariety and the Chern classes of the original variety has been conjectured by the authors cited above but a complete proof of this relation is not in the literature.

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Articles
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Mathematical Proceedings of the Cambridge Philosophical Society , Volume 56 , Issue 2 , April 1960 , pp. 118 - 124
Copyright
Copyright © Cambridge Philosophical Society 1960

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References

REFERENCES

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