Eva BAYER FLUCKIGER Selected Publications Principe de Hasse ...

Eva BAYER FLUCKIGER
Selected Publications
Principe de Hasse faible pour les systèmes de formes quadratiques
J. reine angew. Math. 378 (1987), 53-59.
Forms in odd degree extensions and self-dual normal bases
(with H.W. Lenstra, Jr.)
Amer. J. Math. 112 (1990), 359-373.
Torsions quadratiques et bases normales autoduales
(with J-P. Serre)
Amer. J. Math. 116 (1994), 1–64.
Galois cohomology of linear algebraic groups over fields of cohomological dimension≤2
(with R. Parimala)
Invent. Math. 122 (1995) 195–229.
Non–unimodular hermitian forms
(with L. Fainsilber)
Invent. Math. 123 (1996), 233–240.
Classical groups and the Hasse principle
(with R. Parimala)
Annals of Math. 147 (1998), 651–693.
Upper bounds for Euclidean minima of algebraic number fields
J. Number Theory, 121 (2006), 305–323.
Multiples of trace forms of Galois algebras and algebras with involution
Int. Math. Res. Not. IMRN (2007) Art. ID rnm112, 15 pp.
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LIST OF PUBLICATIONS
1. Finitude du nombre des classes d’isomorphisme des structures isométriques
entières (with F. Michel), Comment. Math. Helv. 54 (1979), 378-396.
2. Finitude du nombre des classes d’isomorphisme des structures isométriques
entières de polynôme minimal semi-simple, Thèse, Université de Genève (1979), 43
pages.
3. S-équivalence et congruence des matrices de Seifert : une conjecture de
Trotter, Invent. Math. 56 (1980), 97-99.
4. Factorisation is not unique for higher dimensional knots, Comment. Math.
Helv. 55 (1980), 583-592.
5. The factorisation of simple knots (with C. Kearton and J. Hillman), Math. Proc.
Cambridge Phil. Soc. 90 (1981), 495-506.
6. Unimodular hermitian and skew-hermitian forms, J. Algebra 40 (1982), 341-373.
7. Definite hermitian forms and the cancellation of simple knots, Arch. Math.
40 (1983), 182-185.
8. Indecomposable knots and concordance (with N. Stoltzfus), Math. Proc. Cambridge
Phil. Soc. 93 (1983), 495-501.
9. Unimodular ǫ-hermitian forms revisited, J. Algebra 85, 213-216.
10. Higher dimensional simple knots and minimal Seifert surfaces, Comment.
Math. Helv. 58 (1983), 646-655.
11. Definite unimodular lattices having an automorphism of given characteristic
polynomial, Comment. Math. Helv. 59 (1984), 509-538.
12. Cancellation of hyperbolic hermitian forms and of even dimensional knots,
Math. Proc. Cambridge Phil. Soc. 98 (1985), 111-115.
13. Stably hyperbolic ǫ-hermitian forms and doubly sliced knots (with N. Stoltzfus),
J. reine angew. Math. 366 (1986), 129-141.
14. Intersection de groupes orthogonaux et principe de Hasse faible pour les
systèmes de formes quadratiques, C.R. Acad. Sci. Paris, t. 301, Série I, numéro 20.
(1985), 911-914.
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15. Principe de Hasse faible pour les systèmes de formes quadratiques, J. reine
angew. Math. 378 (1987), 53-59.
16. Decomposition of modules, forms and simple knots (with C. Kearton et S.M.J.
Wilson), J. reine angew. Math. 375/376 (1987), 167-183.
17. Finiteness theorems for conjugacy classes and branched covers of knots
(with C. Kearton et S.M.J. Wilson), Math. Z. 201 (1989), 485-483.
18. Hermitian forms in additive categories : finiteness results (with C. Kearton
and S.M.J. Wilson), J. Algebra 123 (1989), 336-350.
19. Self-dual normal bases, Indag. Math. 51 (1989), 379-383.
20. Réseaux unimodulaires, Séminaire de Théorie des Nombres, Bordeaux 1 (1989),
189-196.
21. Bases normales autoduales, Séminaire d’algèbre de l’Université de Pise (1989),
89-96.
22. Forms in odd degree extensions and self-dual normal bases (with H.W.
Lenstra, Jr.), Amer. J. Math. 112 (1990), 359-373.
23. Weak Hasse principle for systems of bilinear forms, Colloquia Mathematica
Societatis János Bolyai 51 (1990), 581-593.
24. Hyperbolic involutions (with D. Shapiro and J-P. Tignol), Math. Z. 214 (1993),
461-476.
25. Torsions quadratiques et bases normales autoduales (with J-P. Serre), Amer.
J. Math. 116 (1994) 1–64.
26. Galois cohomology and the trace form, Jahresber. DMV 96 (1994), 35–55.
27. Réseaux liés aux algèbres semi-simples (with J. Martinet), J. reine angew.
Math. 451 (1994), 51–69.
28. Multiplicateurs de similitudes, C.R. Acad. Sci. Paris, 319 (1994), 1151–1153.
29. Multiples of trace forms in number fields (with J. Morales), AMS Proc. Symposia
Pure Math., 58.2 (1995), 73–81.
30. Formes quadratiques devenant isotropes sur une extension, Enseignement
Math. 41 (1995), 111–122.
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31. Galois cohomology of linear algebraic groups over fields of cohomological
dimension≤2 (with R. Parimala), Invent. Math., 122 (1995) 195–229.
32. Systèmes de formes quadratiques d’algèbre donnée, C.R. Acad. Sci. Paris
321 (1995), 1291–1293.
33. Non–unimodular hermitian forms (with L. Fainsilber), Invent. Math., 123
(1996), 233–240.
34. Local–global principles and linear algebraic groups, in Number Theory (eds :
Györy, Pethö, Sós), Walter de Gruyter (1998), 45–53.
35. Classical groups and the Hasse principle (with R. Parimala), Ann. of Math.
147 (1998), 651—693.
36. Lattices and number Fields, Contemp. Math., 241 (1999), 69–84.
37. Doubling trace forms (avec Marina Monsurro), St. Petersburg J. Math. 11 (2000),
405–417.
38. Galois cohomology and the classical groups, Contemp. Math. 272 (2000), 1–7.
39. Cyclotomic modular lattices, J. théorie des nombres, Bordeaux 12 (2000), 273–
280.
40. Théorie des noeuds, Actes de l’Université de tous les savoirs, Vol.4, Odile Jacob
(2001), 67–76.
41. Self–dual normal bases and related topics, proceedings of the conference Finite
Fields and Applications (Augsburg, 1999), Springer Verlag (2001), 25–36.
42. Ideal Lattices, proceedings of the conference Number Theory and Diophantine Geometry,
(Zurich, 1999), Cambridge Univ. Press (2002), 168–184.
43. Determinants of integral ideal lattices and automorphisms with given characteristic
polynomial, J. Algebra, 257 (2002), 215–221.
44. New algebraic constructions of rotated lattice constellations for the Rayleigh
fading channel , with F. Oggier and E. Viterbo. IEEE Information Theory Workshop
(ITW-2003), Paris, 2003.
45. Best rotated cubic lattice constellations for the Rayleigh fading channel,
with F. Oggier, IEEE International Symposium on Information Theory (ISIT-2003),
Yokohama, 2003.
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46. Pfister involutions, with A. Quéguiner and R. Parimala, Proc. Indian Acad. Sci.,
113 (2003), 1–13.
47. Bounds on the performance of rotated lattice constellations, with F. Oggier
and E. Viterbo, IEEE International Symposium on Information Theory (ISIT-2004)
Chicago, 2004.
48. New algebraic constructions of rotated Z n − lattice constellations for the
Rayleigh fading channel, with F. Oggier and E. Viterbo, Transactions IEEE on Information
theory, 50 (2004), 702–714.
49. CM–fields and skew–symmetric matrices, with G. Berhuy and P. Chuard–
Koulmann, Manuscripta Math., 114 (2004), 351–359.
50. Trace forms of Galois algebras over fields of cohomological dimension ≤ 2
(avec M. Monsurro, R. Parimala et R. Schoof), Pacific J. Math, 217 (2004), 29-43.
51. Modular lattices over cyclotomic fields, with I. Suarez, J. Number Theory, 114
(2005), 394–411.
52. On the Euclidean minimum of some real number fields, with G. Nebe, Journal
de théorie des nombres de Bordeaux, 17 (2005), 437-454.
53. Algebraic lattice constallations : bounds on performance, with F. Oggier and
E. Viterbo, Transactions IEEE on Information theory, 52 (2006), 319-327.
54. Ideal lattices over totally real number fields and Euclidean minima, with I.
Suarez, Archiv Math., 86 (2006), 217-225.
55. Upper bounds for Euclidean minima of algebraic number fields, J. Number
Theory, 121 (2006), 305–323.
56. Multiples of trace forms of Galois algebras and algebras with involution,
IMRN (2007) Art. ID rnm112, 15 pp.
57. Review of Lam’s book : Introduction to quadratic forms over fields, Bulletin
of the AMS, 45 (2008), 479-484.
58. Euclidean minima and central division algebras, with J.-P. Cerri and J.
Chaubert, International Journal of Number Theory 5 (2009), 1155–1168.
59. Unitary descent properties, J. Ramanujan Math. Soc. 24 (2009), 265–276.
60. Multiples of forms, in Quadratic Forms, Linear Algebraic Groups and Cohomology,
ed. Colliot-Thelene, Garibaldi, Sujatha, Suresh, Springer Verlag, Developments in
Mathematics, 18 (2010), 3–11.
61 Descent properties of hermitian Witt groups in inseparable extensions, with
D. Moldovan, Archiv Math., to appear.
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American J. Math. 22, 25
Annals of Math. 35
Archiv der Math. 7, 54, 61
Bulletin of the AMS 57
Comment. Math. Helv. 1, 4, 10, 11
CRAS 14, 28, 32
Enseignement Math. 30
Indag. Math. 19
IMRN 56
International J. Number Th. 58
Invent. Math. 3, 31, 33
Jahresbericht DMV 26
PUBLICATIONS
Journals
Journal de théorie des nombres, Bordeaux 19, 39, 52
J. Algebra 6, 9, 18, 43
J. Number Th. 51, 55
J. Ramanujan Math. Soc. 59
J. reine angew. Math (Crelle) 13, 15, 16, 27
Manuscripta Math. 49
Math. Proc. Cambridge Phil. Soc. 5, 8, 12
Math. Zeitschrift 17, 24
Pacific J. Math. 50
Proc. Indian Acad. Sci. 46
St. Petersburg J. Math. 37
Transactions IEEE Information Theory 48, 52
Cambridge University Press 42
Conference Proceedings
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Colloquia Mathematica Societatis János Bolyai 23
Contemporary Mathematics (AMS) 36, 38
IEEE 44, 45
Proceedings of Symposia in Pure Mathematics (AMS) 29
Springer Verlag 41, 60
Walter de Gruyter 34
Seminar Proceedings
Séminaire d’algèbre de l’Université de Pise 21.
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