Tissus algébriques exceptionnels

Luc Pirio

doi:10.1007/s00208-015-1244-6

Tissus algébriques exceptionnels

Luc Pirio

Centre national de la recherche scientifique

Research output: Contribution to journal › Article › peer-review

Abstract

In (Pirio and Trépreau, Int Math Res Not IMRN, doi:10.1093/imrn/rnu066, 2014), it has been proved that for (Formula presented.) and (Formula presented.) , a d-web of t ype (r, n) with maximal rank is algebraizable in the classical sense, except maybe when (Formula presented.) and (Formula presented.). In the present paper, one considers this particular case. Under these hypotheses on n and d, one constructs some examples of ‘exceptional algebraic webs’: these are generalized algebraic webs of maximal rank that are not algebraizable in the classical sense.

Original language	English
Pages (from-to)	1135-1166
Number of pages	32
Journal	Mathematische Annalen
Volume	364
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-015-1244-6
Publication status	Published - 1 Apr 2016
Externally published	Yes

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title = "Tissus alg{\'e}briques exceptionnels",

abstract = "In (Pirio and Tr{\'e}preau, Int Math Res Not IMRN, doi:10.1093/imrn/rnu066, 2014), it has been proved that for (Formula presented.) and (Formula presented.) , a d-web of t ype (r, n) with maximal rank is algebraizable in the classical sense, except maybe when (Formula presented.) and (Formula presented.). In the present paper, one considers this particular case. Under these hypotheses on n and d, one constructs some examples of {\textquoteleft}exceptional algebraic webs{\textquoteright}: these are generalized algebraic webs of maximal rank that are not algebraizable in the classical sense.",

author = "Luc Pirio",

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year = "2016",

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AB - In (Pirio and Trépreau, Int Math Res Not IMRN, doi:10.1093/imrn/rnu066, 2014), it has been proved that for (Formula presented.) and (Formula presented.) , a d-web of t ype (r, n) with maximal rank is algebraizable in the classical sense, except maybe when (Formula presented.) and (Formula presented.). In the present paper, one considers this particular case. Under these hypotheses on n and d, one constructs some examples of ‘exceptional algebraic webs’: these are generalized algebraic webs of maximal rank that are not algebraizable in the classical sense.

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ER -

Tissus algébriques exceptionnels

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