1 |
S. Kawaguchi, Local and global canonical height functions for affine space regular automor-phisms, preprint, arXiv:0909.3573, 2009.
|
2 |
S. Lang, Fundamentals of Diophantine Geometry, Berlin, Heidelberg, New York, Springer 1983.
|
3 |
R. Lazarsfeld, Positivity in Algebraic Geometry. I, Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Bd. 48, Springer, New York, 2004.
|
4 |
C. Lee, The upper bound of height and regular affine automorphisms on , submitted, arXiv:0909.3107, 2009.
|
5 |
C. Lee, The maximal ratio of coefficients of divisors and an upper bound for height for rational maps, submitted, arXiv:1002.3357, 2010.
|
6 |
S. Marcello, Sur la dynamique arithmetique des automorphismes de l'espace affine, Bull. Soc. Math. France 131 (2003), no. 2, 229-257.
DOI
|
7 |
D. G. Northcott, Periodic points on an algebraic variety, Ann. of Math. (2) 51 (1950), 167-177.
DOI
|
8 |
I. Shafarevich, Basic Algebraic Geometry, Springer, 1994.
|
9 |
J. H. Silverman, Height bounds and preperiodic points for families of jointly regular affine maps, Pure Appl. Math. Q. 2 (2006), no. 1, part 1, 135-145.
DOI
|
10 |
J. H. Silverman, The Arithmetic of Dynamical Systems, Springer, 2007.
|
11 |
J. H. Silverman and M. Hindry, Diophantine Geometry, Springer 2000.
|
12 |
A. Weil, Arithmetic on algebraic varieties, Ann. of Math. (2) 53 (1951), 412-444.
DOI
|
13 |
S. D. Cutkosky, Resolution of Singularities, Graduate Studies in Mathematics, Vol 63, American Mathematics Society, 2004.
|
14 |
W. Fulton, Intersection Theory, Second edition, Springer-Verlag, Berlin, 1998.
|
15 |
R. Hartshorne, Algebraic Geometry, Springer, 1977.
|
16 |
S. Kawaguchi, Canonical height functions for affine plane automorphisms, Math. Ann. 335 (2006), no. 2, 285-310.
DOI
ScienceOn
|
17 |
H. Hironaka, Resolution of singularities of an algebraic variety over a field of charac-teristic zero. I, Ann. of Math. (2) 79 (1964), 109-203.
DOI
|