S-unit points on analytic hypersurfaces

Pietro Corvaja; Umberto Zannier

Annales scientifiques de l'École Normale Supérieure (2005)

  • Volume: 38, Issue: 1, page 76-92
  • ISSN: 0012-9593

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Corvaja, Pietro, and Zannier, Umberto. "S-unit points on analytic hypersurfaces." Annales scientifiques de l'École Normale Supérieure 38.1 (2005): 76-92. <http://eudml.org/doc/82655>.

@article{Corvaja2005,
author = {Corvaja, Pietro, Zannier, Umberto},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {S-unit; analytic hypersurface; Subspace Theorem},
language = {eng},
number = {1},
pages = {76-92},
publisher = {Elsevier},
title = {S-unit points on analytic hypersurfaces},
url = {http://eudml.org/doc/82655},
volume = {38},
year = {2005},
}

TY - JOUR
AU - Corvaja, Pietro
AU - Zannier, Umberto
TI - S-unit points on analytic hypersurfaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2005
PB - Elsevier
VL - 38
IS - 1
SP - 76
EP - 92
LA - eng
KW - S-unit; analytic hypersurface; Subspace Theorem
UR - http://eudml.org/doc/82655
ER -

References

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  1. [1] Bombieri E., Zannier U., Algebraic points on subvarieties of G m n , Internat. Math. Res. Notices7 (1995) 333-347. Zbl0848.11030MR1350686
  2. [2] Bombieri E., Zannier U., Heights of algebraic points on subvarieties of abelian varieties, Ann. Scuola Norm Sup. Pisa Cl. Sci.XXIII (4) (1996) 4. Zbl0897.11020MR1469574
  3. [3] Corvaja P., Zannier U., Some new applications of the subspace theorem, Compositio Math.131 (2002) 319-340. Zbl1010.11038MR1905026
  4. [4] Corvaja P., Zannier U., On the diophantine equation f ( a m , y ) = b n , Acta Arith.94 (1) (2000) 25-40. Zbl0963.11020MR1762454
  5. [5] Laurent M., Équations diophantiennes exponentielles, Inv. Math.78 (1984) 299-327. Zbl0554.10009MR767195
  6. [6] Masser D., A vanishing theorem for power series, Inv. Math.67 (1982) 275-296. Zbl0481.10034MR665158
  7. [7] Nishioka K., Algebraic independence by Mahler's method and S-unit equations, Compositio Math.92 (1994) 87-110. Zbl0802.11029MR1275722
  8. [8] Schmidt W.M., Heights of points on subvarieties of G m n , in: David S. (Ed.), Number Theory 1993–1994, Cambridge Univ. Press, LMS, 1996, pp. 199-213. Zbl0917.11023MR1628798
  9. [9] Zannier U., Some Applications of Diophantine Approximation to Diophantine Equations, Editrice Forum, Udine, 2003. 

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