Moduli of Crude Limit Linear Series

Details Moduli of Crude Limit Linear Series Moduli of Crude Limit Linear Series

2009-02-25

arxiv.org/abs/0902.4289v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

Eisenbud and Harris introduced the theory of limit linear series, and constructed a space parametrizing their limit linear series. Recently, Osserman introduced a new space which compactifies the Eisenbud-Harris construction. In the Eisenbud-Harris space, the set of refined limit linear series is always dense on a general reducible curve. Osserman asks when the same is true for his space. In this paper, we answer his question by characterizing the situations when the crude limit linear series contain an open subset of his space.

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