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arxiv: 1305.6493 · v2 · pith:WJJSGM2Dnew · submitted 2013-05-28 · 🧮 math.AG

Tissus alg\'ebriques exceptionnels

classification 🧮 math.AG
keywords algebraicalgebraizableclassicalmaximalranksensewebsaren
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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.

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