Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Baragar (1996)
Rational points on K3 surfaces in ℙ1 × ℙ1 × ℙ1Mathematische Annalen, 305
Sandra Marcello (2003)
Sur la dynamique arithmétique des automorphismes de l’espace affineBulletin de la Société Mathématique de France, 131
Sandra Marcello (2000)
Sur les propriétés arithmétiques des itérés d'automorphismes réguliersComptes Rendus De L Academie Des Sciences Serie I-mathematique, 331
A. Baragar (2003)
Canonical Vector Heights on Algebraic $\text{K}3$ Surfaces with Picard Number TwoCanadian Mathematical Bulletin, 46
T. Ueda (1994)
Fatou sets in complex dynamics on projective spacesJournal of The Mathematical Society of Japan, 46
J. Silverman (1991)
Rational points on K3 surfaces: A new canonical heightInventiones mathematicae, 105
Antoine Chambert-Loir (1999)
Points de petite hauteur sur les variétés semi-abéliennesAnnales Scientifiques De L Ecole Normale Superieure, 33
Serge Cantat (2001)
Dynamique des automorphismes des surfaces K3Acta Mathematica, 187
J. Bost, H. Gillet, C. Soulé (1994)
Heights of projective varieties and positive Green formsJournal of the American Mathematical Society, 7
M. Baker, R. Rumely (2004)
Equidistribution of small points, rational dynamics, and potential theoryAnnales de l'Institut Fourier, 56
(1999)
Exposants de Liapouno ¤ et distribution des points périodiques d ’ un endomor - phisme de C P k
J. Briend, J. Duval (1999)
Exposants de Liapounoff et distribution des points périodiques d'un endomorphisme deCPkActa Mathematica, 182
L. Szpiro, E. Ullmo, Shousong Zhang (1997)
Equirépartition des petits pointsInventiones mathematicae, 127
A. Moriwaki (1998)
Arithmetic height functions over finitely generated fieldsInventiones mathematicae, 140
B. Mazur (1992)
The Topology of Rational PointsExp. Math., 1
Gregory Call, J. Silverman (1993)
Canonical heights on varieties with morphismsCompositio Mathematica, 89
J. Pineiro, L. Szpiro, T. Tucker (2005)
Mahler measure for dynamical systems on ℙ1 and intersection theory on a singular arithmetic surface
P. Philippon (1991)
Sur des hauteurs alternatives. IMathematische Annalen, 289
W. Gubler (1994)
Hhentheorie: mit einern Appendix von Jrg Kramer: Eine alternative Begrndung der Nron-Tate HheMathematische Annalen, 298
J. Silverman (1993)
Integer points, Diophantine approximation, and iteration of rational mapsDuke Mathematical Journal, 71
(1996)
Superattractive fixed points in C n
F. Berteloot, J. Loeb (2001)
Une caractérisation géométrique des exemples de Lattès de $\mathbb {P}^k$Bulletin de la Société Mathématique de France, 129
A. Moriwaki (1999)
The canonical arithmetic height of subvarieties of an abelian variety over a finetely generated fieldCrelle's Journal, 2001
A. Baragar (2004)
Canonical vector heights on K3 surfaces with Picard number three - An argument for nonexistenceMath. Comput., 73
A. Hinkkanen, G. Martin (1996)
The Dynamics of Semigroups of Rational Functions IProceedings of The London Mathematical Society, 73
Y. Bilu (1997)
Limit distribution of small points on algebraic toriDuke Mathematical Journal, 89
J. Silverman (1994)
Geometric and arithmetic properties of the Hénon mapMathematische Zeitschrift, 215
We construct canonical heights of subvarieties for dynamical eigensystems of several morphisms for line bundles over a number field, and study some of their properties. We also construct invariant currents for such systems over ℂ.
Journal für die reine und angewandte Mathematik (Crelle's Journal) – de Gruyter
Published: Aug 1, 2006
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.