Pencils on real curves

Details Pencils on real curves Pencils on real curves

2011-07-25

arxiv.org/abs/1107.4998v1

Mathematics

Algebraic Geometry

27 pages, 12 figures

Scientific paper

We consider coverings of real algebraic curves to real rational algebraic curves. We show the existence of such coverings having prescribed topological degree on the real locus. From those existence results we prove some results on Brill-Noether Theory for pencils on real curves. For coverings having topological degree 0 we introduce the covering number k and we prove the existence of coverings of degree 4 with prescribed covering number.

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