Reduction theory of point clusters in projective space
Number Theory
2016-08-03 v1 Algebraic Geometry
Abstract
In this paper, we generalise results obtained earlier by John Cremona and the author on the reduction theory of binary forms, which describe positive zero-cycles in P^1, to positive zero-cycles (or point clusters) in projective spaces of arbitrary dimension. This should have applications to more general projective varieties in P^n, by associating a suitable positive zero-cycle to them in an PGL(n+1)-invariant way. We discuss this in the case of (smooth) plane curves.
Keywords
Cite
@article{arxiv.0909.2808,
title = {Reduction theory of point clusters in projective space},
author = {Michael Stoll},
journal= {arXiv preprint arXiv:0909.2808},
year = {2016}
}
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12 pages