Nilpotent webs
Olivier Ripoll and Julien Sebag
Source: J. Commut. Algebra Volume 2, Number 2
(2010), 209-221.
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Permanent link to this document: http://projecteuclid.org/euclid.jca/1275403638
Digital Object Identifier: doi:10.1216/JCA-2010-2-2-209
Mathematical Reviews number (MathSciNet): MR2647476
References
A. Beauville, Géométries des tissus (d'après S.S. Chern et P.A. Griffiths), Séminaire Bourbaki 531, février 1976, Lecture Notes Math 770, Springer, Berlin, 1980, 103-119.
Mathematical Reviews (MathSciNet): MR572420
W. Blaschke and G. Bol, Geometrie der Gewebe, Springer, Berlin, 1938.
A. Buium, Differential algebra and diophantine geometry, Hermann, Paris, 1994.
Mathematical Reviews (MathSciNet): MR1487891
Zentralblatt MATH: 0870.12007
L. Dara, Singularités génériques des équations différentielles multiformes, Bol. Soc. Bras. Mat. 6 (1975), 95-128.
Mathematical Reviews (MathSciNet): MR488153
Digital Object Identifier: doi:10.1007/BF02584779
A. Hénaut, Planar web geometry through abelian relations and singularities, % (2006), in Inspired by Chern, A memorial volume in honor of a great mathematician, World Scientific Publishing Co., River Edge, NJ, 2006.
Mathematical Reviews (MathSciNet): MR2313337
--------, On planar web geometry through abelian relations and connections, Ann. Math. 159 (2004), 425-445.
Mathematical Reviews (MathSciNet): MR2052360
Zentralblatt MATH: 1069.53020
Digital Object Identifier: doi:10.4007/annals.2004.159.425
JSTOR: links.jstor.org
M. Miyanishi, Vector fields on factorial schemes, J. Algebra 173 (1995), 144-165.
Mathematical Reviews (MathSciNet): MR1327364
Zentralblatt MATH: 0835.13006
Digital Object Identifier: doi:10.1006/jabr.1995.1081
J.V. Pereira, Algebrization of codimension one webs [after Trépreau, Hénaut, Pirio, Robert,...], Séminaire Bourbaki 974, Mars 2007.
Mathematical Reviews (MathSciNet): MR2487736
O. Ripoll, Détermination du rang des tissus du plan et autres invariants géométriques, C.R. Acad. Sci. Paris 341 (2005), 247-252.
Mathematical Reviews (MathSciNet): MR2164681
Digital Object Identifier: doi:10.1016/j.crma.2005.07.007
--------, Properties of the connection associated with planar webs and applications, Arxiv math.DG /0702321, Manuscr. Math., to appear.
O. Ripoll and J. Sebag, Solutions singulières des tissus polynomiaux du plan, J. Algebra 310 (2007), 351-370.
Mathematical Reviews (MathSciNet): MR2307797
Digital Object Identifier: doi:10.1016/j.jalgebra.2006.11.028
--------, The Cartan-Tresse linearization polynomial and applications, J. Algebra 320 (2008), 1914-1932.
Mathematical Reviews (MathSciNet): MR2437637
Zentralblatt MATH: 1154.13009
Digital Object Identifier: doi:10.1016/j.jalgebra.2008.04.026
J. Ritt, Differential algebra, Coll. Publ. 33, American Mathematical Society, Dover, 1966.
Mathematical Reviews (MathSciNet): MR201431
J. Sebag, On a special class of non complete webs, Annal. Fac. Sci. Toulouse, to appear.
Mathematical Reviews (MathSciNet): MR2597782
A. van den Essen, Polynomial automorphisms and the Jacobian conjecture, Prog. Math. 190, Birkhäuser Verlag, Berlin.
Mathematical Reviews (MathSciNet): MR1601194
Journal of Commutative Algebra