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Masami FujimoriThe algebraic groups leading to the Roth inequalitiesJournal de théorie des nombres de Bordeaux,
24 no.
2 (
2012), p. 257-292, doi:
10.5802/jtnb.796
Article
PDF | Reviews
MR 2950692 |
Zbl 1276.11120
We determine the algebraic groups which have a close relation to the Roth inequalities.
[1]
Y. André,
Slope filtrations. Confluentes Math.
1 (2009), 1–85 (arXiv:0812.3921v2).
MR 2571693[2]
A. Borel,
Linear Algebraic Groups, Second Enlarged Edition. Graduate Texts in Math.
126, Springer-Verlag, New York, 1991.
MR 1102012 |
Zbl 0726.20030[3]
J.-F. Dat,
S. Orlik, and
M. Rapoport,
Period Domains over Finite and $ p $-adic Fields. Cambridge Tracts in Math.
183, Cambridge Univ. Press, New York, 2010.
MR 2676072[4]
P. Deligne and
J. S. Milne,
Tannakian Categories. In
Hodge Cycles, Motives, and Shimura Varieties, Lect. Notes in Math.
900, 101–228, Springer-Verlag, Berlin Heidelberg, 1982.
MR 654325 |
Zbl 0477.14004[5]
J.-H. Evertse,
The subspace theorem and twisted heights. Preprint, 32pp. (
http://www.math.leidenuniv.nl/~evertse/publications.shtml)
[6]
G. Faltings,
Mumford-Stabilität in der algebraischen Geometrie. Proceedings of the International Congress of Mathematicians 1994, Zürich, Switzerland, 648–655, Birkhäuser Verlag, Basel, Switzerland, 1995.
MR 1403965 |
Zbl 0871.14010[7]
G. Faltings and
G. Wüstholz,
Diophantine approximations on projective spaces. Invent. Math.
116 (1994), 109–138.
MR 1253191 |
Zbl 0805.14011[8]
M. Fujimori,
On systems of linear inequalities. Bull. Soc. Math. France
131 (2003), 41–57.
Corrigenda. ibid.
132 (2004), 613–616.
MR 1975805[9]
M. Rapoport,
Analogien zwischen den Modulräumen von Vektorbündeln und von Flaggen. Jahresber. Deutsch. Math.-Verein.
99 (1997), 164–180.
MR 1480327 |
Zbl 0891.14010[10]
M. Rapoport,
Period domains over finite and local fields. In
Algebraic Geometry—Santa Cruz 1995, Proc. Sympos. Pure Math.
62, 361–381, Amer. Math. Soc., Providence, RI, 1997.
MR 1492528 |
Zbl 0924.14009[11]
N. S. Rivano,
Catégories Tannakiennes. Lect. Notes in Math.
265, Springer-Verlag, Berlin Heidelberg, 1972.
MR 338002 |
Zbl 0241.14008[12]
W. M. Schmidt,
Diophantine Approximation. Lect. Notes in Math.
785, Springer-Verlag, Berlin Heidelberg, 1980.
MR 568710 |
Zbl 0421.10019[13]
B. Totaro,
Tensor products in $ p $-adic Hodge theory. Duke Math. J.
83 (1996), 79–104.
Article |
MR 1388844 |
Zbl 0873.14019