Free linear systems on integral Gorenstein curves. (English) Zbl 0770.14002

Coppens, Marc

J. Algebra 145, No. 1, 209-218 (1992).

One introduces and studies the notion of free linear systems on Gorenstein curves, designated to play a similar role as that of base point free linear systems on smooth curves. In particular one proves a “free pencil trick”. – Some applications to integral plane curves are indicated.

Reviewer: N.Manolache (Bucureşti)

MSC:

14C20	Divisors, linear systems, invertible sheaves
14M05	Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
14H45	Special algebraic curves and curves of low genus

Keywords:

free pencil; linear systems on Gorenstein curves; integral plane curves

References:

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