Tissus alg\'ebriques exceptionnels
Algebraic Geometry
2015-06-10 v2
Abstract
In arXiv:1302.3142, it has been proved that for r>1, n>1 and d>(r+1)(n-1)+1, a d-web of type (r,n) with maximal rank is algebraizable in the classical sense, except maybe when n>2 and d = (r+2)(n-1)+1. In the present paper, one considers this particular case. Under these hypotheses on r, n and d, one constructs some examples of `exceptional algebraic webs': these are generalized algebraic webs of maximal rank that aren't algebraizable in the classical sense.
Cite
@article{arxiv.1305.6493,
title = {Tissus alg\'ebriques exceptionnels},
author = {Luc Pirio},
journal= {arXiv preprint arXiv:1305.6493},
year = {2015}
}
Comments
34 pages, in French, 1 table. To appear in Mathematische Annalen