Moduli of roots of line bundles on curves

Details Moduli of roots of line bundles on curves Moduli of roots of line bundles on curves

2004-04-05

arxiv.org/abs/math/0404078v2

Mathematics

Algebraic Geometry

Final version, added references. To appear in Trans. Amer. Math. Soc

Scientific paper

We treat the problem of completing the moduli space for roots of line bundles
on curves. Special attention is devoted to higher spin curves within the
universal Picard scheme. Two new different constructions, both using line
bundles on nodal curves as boundary points, are carried out and compared with
pre-existing ones.

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