Tissus algébriques exceptionnels

Luc Pirio

doi:10.1007/s00208-015-1244-6

Tissus algébriques exceptionnels

Luc Pirio

CNRS

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1135-1166
Nombre de pages	32
journal	Mathematische Annalen
Volume	364
Numéro de publication	3-4
Les DOIs	https://doi.org/10.1007/s00208-015-1244-6
état	Publié - 1 avr. 2016
Modification externe	Oui

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10.1007/s00208-015-1244-6

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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",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = apr,

day = "1",

doi = "10.1007/s00208-015-1244-6",

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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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JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

Tissus algébriques exceptionnels

Résumé

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