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arXiv · 2210.07843

Generalized De Jonquieres divisors on generic curves

Gavril Farkas
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Abstract

The classical De Jonquieres and MacDonald formulas describe the virtual number of divisors with prescribed multiplicities in a linear system on an algebraic curve. We establish an essentially optimal result concerning the enumerative validity of these formulas in the case of a general curve of genus g.

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Gavril Farkas. 2022-10-14. Generalized De Jonquieres divisors on generic curves. https://arxiv.org/abs/2210.07843

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