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Note on the Invariants of the Canonical System of an Algebraic Variety

Published online by Cambridge University Press:  24 October 2008

J. A. Todd  and
E. A. Maxwell
J. A. Todd
Affiliation:
Trinity College
E. A. Maxwell
Affiliation:
Queens' College
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Extract

This note is concerned with the relations between the invariants Ωi (i = 0,1,…, d – 1) of the canonical system on an algebraic Vd. Here Ω0 is the grade of the canonical system, and Ωi is the virtual arithmetic genus of the Vi of intersection of d – i canonical Vd–1's.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 33 , Issue 4 , October 1937 , pp. 438 - 443
Copyright
Copyright © Cambridge Philosophical Society 1937

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References

* Segre, B., Boll. Unione Mat. Ital. 13 (1934), 93.Google Scholar

† Severi, F., Rend, di Palermo, 28 (1909), 33.CrossRefGoogle Scholar

‡ Todd, J. A., Proc. Lond. Math. Soc. (2), 43 (1937), 190, formulae (49) and (59).Google Scholar