Limit linear systems and applications

Details Limit linear systems and applications Limit linear systems and applications

2006-02-10

arxiv.org/abs/math/0602213v3

Mathematics

Algebraic Geometry

35 pages, 5 figures; thoroughly rewritten: more focused on applications, less on techique, shorter preprint

Scientific paper

A system of plane curves defined by prescribing n points of multiplicity m in
general position is regular if n > (2m)^2. The proof uses computation of limits
of linear systems acquiring fixed divisors, an interesting problem in itself.

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