Recent journal papers and preprints
Note. All items below except the first two deal with Geometry of Numbers.
PUBLICATION LIST.
HISTORY
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Histoire des Journées Arithmétiques.
J. Théorie des Nombres de Bordeaux 7 (1995), vii -- xiii;
en ligne : dernière mise à jour le 18 juillet 2018.
dvi ,
postscript ,
pdf.
BOOKS
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Les réseaux parfaits des espaces euclidiens.
Éditions Masson, Paris, 1996; repris par les éditions Dunod.
Semble ne plus figurer au catalogue de l'éditeur,
... so much the better!
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Erratum au livre "Les réseaux parfaits des espaces euclidiens".
dvi,
postscript,
pdf.
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Perfect Lattices in Euclidean Spaces.
Springer-Verlag, Grundleheren der Mathematischen Wissenschaften 327,
Heidelberg, 2003.
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Gram Matrices for Perfect Lattices in Dimensions 1 to 7.
dvi,
postscript,
pdf.
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Preface, Introduction and Contents of the Book
"Perfect Lattices in Euclidean Spaces".
postscript.
pdf.
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Corrected and Extended Reference List of the Book
"Perfect Lattices in Euclidean Spaces" .
dvi,
postscript,
pdf.
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Comparison between French and English editions.
dvi,
postscript,
pdf.
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Erratum to the book "Perfect Lattices in Euclidean Spaces".
dvi,
postscript,
pdf
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Complements to the Book "Perfect Lattices in Euclidean Spaces" .
dvi,
postscript,
pdf.
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Réseaux euclidiens, designs sphériques et formes modulaires.
L'Enseignement Mathématique, Monographie 37 ,
Genève, 2001.
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Contents of the Book "Réseaux euclidiens, designs sphériques et formes modulaires".
dvi,
postscript,
pdf.
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Introduction of the Book "Réseaux euclidiens, designs sphériques et formes modulaires".
dvi,
postscript,
pdf.
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Erratum and Complements to "Réseaux euclidiens, designs sphériques et formes modulaires".
dvi,
postscript,
pdf.
ARTICLES
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Une famille de réseaux dual-extrêmes.
J. Théorie des Nombres de Bordeaux 9,1 (1997), 169-181.
pdf.
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Réseaux et designs sphériques.
Notes d'un cours fait par Boris VENKOV
d'octobre 1996 à février 1997 ;
in Réseaux euclidiens, designs sphériques et formes modulaires
(J. Martinet, éditeur), L'Enseignement Mathématique,
Monographie 37 (2001), 10--86.
dvi,
postscript,
pdf.
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Les réseaux fortement eutactiques
(avec Boris VENKOV) .
In Réseaux euclidiens, designs sphériques et formes modulaires
(J. Martinet, éditeur), L'Enseignement Mathématique,
Monographie 37 (2001), 113--134; avec un appendice
de Renaud Coulangeon , pp. 133 -- 134.
dvi,
postscript
,
pdf.
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Sur certains designs sphériques liés
à des réseaux entiers.
In Réseaux euclidiens, designs sphériques et formes modulaires
(J. Martinet, éditeur), L'Enseignement Mathématique,
Monographie 37 (2001), 135 -- 146.
[WARNING: O23 was missing in the statement of the Theorem.]
dvi ,
postscript ,
pdf .
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Sur l'indice d'un sous-réseau.
In Réseaux euclidiens, designs sphériques et formes modulaires
(J. Martinet, éditeur), L'Enseignement Mathématique,
Monographie 37 (2001), 163 -- 211; avec un appendice
de Christian Batut , pp. 209 -- 210.
dvi ,
postscript,
pdf.
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Reduction Modulo 2 and 3 of Euclidean Lattices.
J. Algebra 251 (2002), 864--887.
[Remark of R. Idel, May 14th, 2012:
in the proof of Th. 1.3, assume that d=2 or 3.]
dvi ,
postscript ,
pdf .
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Appendix to "Reduction Modulo 2 and 3 of Euclidean Lattices":
the missing proof.
Preprint 1999, Université Bordeaux 1.
dvi ,
postscript ,
pdf .
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Reduction Modulo 2 and 3 of Euclidean Lattices, II
(Acts of the Talca Conference, Chile, December 2002).
Contemporary Math. 344 (2004), 265--273.
dvi ,
postscript ,
pdf .
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Lattices modulo 2 and 3 (comments)
dvi ,
postscript ,
pdf .
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Symmetric Groups and Lattices
(with Anne-Marie BERGÉ).
Monatshefte für Mathematik 140 (2003), 179--195.
dvi ,
postscript ,
pdf .
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On integral lattices having an odd minimum
(with Boris VENKOV).
Algebra and Analysis
(Saint-Petersburg) 16, 3 (2004), 99--142;
=St-Petersburg Math. J. (AMS translations), 507--539.
dvi ,
postscript ,
pdf .
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A generalization of some lattices of Coxeter
(with Anne-Marie BERGÉ).
Mathematika 51 (2004), 49--61.
dvi ,
postscript ,
pdf .
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Sublattices of certain Coxeter lattices
(with Anne-Marie BERGÉ).
A paper dedicated to Georges Gras.
J. Th. Nombres Bordeaux 17 (2005), 455--465.
dvi ,
postscript ,
pdf .
[This is a footnote to
Anne-Marie Bergé's paper
"On certain Coxeter lattices without perfect sections",
J. Alg. Comb. 20 (2004), 5--16.]
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On weakly eutactic forms
(with Anne-Marie BERGÉ),
submitted December 9th, 2005. J. London Math. Soc. 75 (2007), 187--198.
dvi ,
postscript ,
pdf .
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On perfection relations in lattices
(with Anne-Marie BERGÉ).
Contemporary Math. 493 (2009), 29--49;
preprint at arXiv:math.NT/0611220, 8 Nov. 2006:
click here.
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Bases of minimal vectors in lattices, I .
Archiv der Mathematik 89 (2007), 404--410.
dvi ,
postscript ,
pdf .
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Bases of minimal vectors in lattices, II.
Archiv der Mathematik 89 (2007),541--551.
dvi ,
postscript ,
pdf .
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On classifying Minkowskian sublattices
(with Wolfgang KELLER and Achill SCHÜRMANN).
With an appendix by Mathieu Dutour-Sikiric'.
Math. Comp. 81 (2012), 1063-1092;
click here;
preprint at arXiv:0904.3110v3.
click here;
Math. Comp. link with complements,
click here ; PARI-GP (direct)
(a) Read_me ,
pdf, (b) GP-file Gramindex.gp,
click here.
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Bases of minimal vectors in lattices, III
(with Achill SCHÜRMANN).
Inter. J. Number Theory 08 (2012), 551-567;
preprint at arXiv:1105.5889
click here.
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On the index system of well-rounded lattices
(February 6th, 2012).
Not submitted; preprint at arXiv:1202.2295
click here. Also
dvi ,
postscript ,
pdf .
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Spherical 3-designs and lattices from binary codes
This text, put on line on October 24th, 2012, dates back to May 11th, 2012.
dvi ,
ps ,
pdf .
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Hermite versus Minkowski
Not submitted; preprint at arXiv:1403.1457
click here. Also
dvi ,
postscript ,
pdf .
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Voronoi complexes in higher dimensions, cohomology of GL_N(Z) for N>=8 and
the triviality of K_8(Z)
J. Inst. Math. Jussieu, to appear; preprint at arXiv:1910.11598, 25 Oct. 2019
(with M. Dutour-Sikirić, Ph. Elbaz-Vincent,
A. Kupers).
pdf .
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Families of Equiangular Lines and Lattices
Not submitted; preprint at arXiv:2403.09446
click here. Also
dvi ,
pdf .
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