The algebraic groups leading to the Roth inequalities
- [1] Kanagawa Institute of Technology 243-0292 Japan
Journal de Théorie des Nombres de Bordeaux (2012)
- Volume: 24, Issue: 2, page 257-292
- ISSN: 1246-7405
Access Full Article
topAbstract
topHow to cite
topFujimori, Masami. "The algebraic groups leading to the Roth inequalities." Journal de Théorie des Nombres de Bordeaux 24.2 (2012): 257-292. <http://eudml.org/doc/251037>.
@article{Fujimori2012,
abstract = {We determine the algebraic groups which have a close relation to the Roth inequalities.},
affiliation = {Kanagawa Institute of Technology 243-0292 Japan},
author = {Fujimori, Masami},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
month = {6},
number = {2},
pages = {257-292},
publisher = {Société Arithmétique de Bordeaux},
title = {The algebraic groups leading to the Roth inequalities},
url = {http://eudml.org/doc/251037},
volume = {24},
year = {2012},
}
TY - JOUR
AU - Fujimori, Masami
TI - The algebraic groups leading to the Roth inequalities
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2012/6//
PB - Société Arithmétique de Bordeaux
VL - 24
IS - 2
SP - 257
EP - 292
AB - We determine the algebraic groups which have a close relation to the Roth inequalities.
LA - eng
UR - http://eudml.org/doc/251037
ER -
References
top- Y. André, Slope filtrations. Confluentes Math. 1 (2009), 1–85 (arXiv:0812.3921v2). Zbl1213.14039MR2571693
- A. Borel, Linear Algebraic Groups, Second Enlarged Edition. Graduate Texts in Math. 126, Springer-Verlag, New York, 1991. Zbl0726.20030MR1102012
- J.-F. Dat, S. Orlik, and M. Rapoport, Period Domains over Finite and -adic Fields. Cambridge Tracts in Math. 183, Cambridge Univ. Press, New York, 2010. Zbl1206.14001MR2676072
- 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. Zbl0477.14004MR654325
- J.-H. Evertse, The subspace theorem and twisted heights. Preprint, 32pp. (http://www.math.leidenuniv.nl/~evertse/publications.shtml) Zbl1282.11085
- 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. Zbl0871.14010MR1403965
- G. Faltings and G. Wüstholz, Diophantine approximations on projective spaces. Invent. Math. 116 (1994), 109–138. Zbl0805.14011MR1253191
- M. Fujimori, On systems of linear inequalities. Bull. Soc. Math. France 131 (2003), 41–57. Corrigenda. ibid. 132 (2004), 613–616. Zbl1119.11038MR1975805
- M. Rapoport, Analogien zwischen den Modulräumen von Vektorbündeln und von Flaggen. Jahresber. Deutsch. Math.-Verein. 99 (1997), 164–180. Zbl0891.14010MR1480327
- 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. Zbl0924.14009MR1492528
- N. S. Rivano, Catégories Tannakiennes. Lect. Notes in Math. 265, Springer-Verlag, Berlin Heidelberg, 1972. Zbl0241.14008MR338002
- W. M. Schmidt, Diophantine Approximation. Lect. Notes in Math. 785, Springer-Verlag, Berlin Heidelberg, 1980. Zbl0421.10019MR568710
- B. Totaro, Tensor products in -adic Hodge theory. Duke Math. J. 83 (1996), 79–104. Zbl0873.14019MR1388844
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.