A Theory of Duality for Algebraic Curves
Algebraic Geometry
2010-03-31 v1
Abstract
We formulate a refined theory of linear systems, using the methods of a previous paper, "A Theory of Branches for Algebraic Curves", and use it to give a geometric interpretation of the genus of an algebraic curve. Using principles of duality, we prove generalisations of Plucker's formulae for algebraic curves. The results hold for arbitrary characteristic of the base field L, with some occasional exceptions when characteristic(L)=2, which we observe in the course of the paper.
Cite
@article{arxiv.1003.5837,
title = {A Theory of Duality for Algebraic Curves},
author = {Tristram de Piro},
journal= {arXiv preprint arXiv:1003.5837},
year = {2010}
}