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Linear Systems of Plane Curves with a Composite Number of Base Points of Equal Multiplicity

A. Buckley·M. Zompatori
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Abstract

We extend the range of linear systems of plane curves for which it is known that the dimension is equal to the expected dimension. We use a degeneration technique due to C. Ciliberto and R. Miranda. From our result we deduce, as a Corollary, a theorem due to Evain on homogeneous systems of curves through a number of base points given by a power of 4.

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A. Buckley, M. Zompatori. 2002-05-28. Linear Systems of Plane Curves with a Composite Number of Base Points of Equal Multiplicity. https://arxiv.org/abs/math/0205302

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