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

  • J. A. Todd (a1) and E. A. Maxwell (a2)


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.



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

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

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


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