%0 Journal Article
%T Brill-Noether-type Theorems with a Movable Ramification Point
%A Rebecca Lehman
%J Mathematics
%D 2008
%I arXiv
%X The classical Brill-Noether theorems count the dimension of the family of maps from a general curve of genus g to non-degenerate curves of degree d in r-dimensional projective space. These theorems can be extended to include ramification conditions at fixed general points. This paper deals with the problem of imposing a ramification condition at an unspecified point. We solve the problem completely in dimensions 1 and 2, and provide an existence test and bound the dimension of the family in the general case.
%U http://arxiv.org/abs/0804.4657v1