Kawaguchi, Shu Introduction to algebraic and arithmetic dynamics – a survey. (English) Zbl 1301.37070 RIMS Kôkyûroku Bessatsu B25, 103-123 (2011). MSC: 37Pxx 37-02 11S82 11G50 14G40 PDFBibTeX XMLCite \textit{S. Kawaguchi}, RIMS Kôkyûroku Bessatsu B25, 103--123 (2011; Zbl 1301.37070)
Kawaguchi, Shu; Silverman, Joseph H. Canonical heights and the arithmetic complexity of morphisms on projective space. (English) Zbl 1221.11152 Pure Appl. Math. Q. 5, No. 4, 1201-1217 (2009). Reviewer: Michael Zieve (Ann Arbor) MSC: 11G50 14G40 37P30 PDFBibTeX XMLCite \textit{S. Kawaguchi} and \textit{J. H. Silverman}, Pure Appl. Math. Q. 5, No. 4, 1201--1217 (2009; Zbl 1221.11152) Full Text: DOI arXiv
Kawaguchi, Shu Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint. (English) Zbl 1144.14019 Am. J. Math. 130, No. 1, 159-186 (2008). Reviewer: Huayi Chen (Paris) MSC: 14G40 37C25 11G35 14J50 PDFBibTeX XMLCite \textit{S. Kawaguchi}, Am. J. Math. 130, No. 1, 159--186 (2008; Zbl 1144.14019) Full Text: DOI arXiv
Kawaguchi, Shu Canonical heights for random iterations in certain varieties. (English) Zbl 1208.37056 Int. Math. Res. Not. 2007, No. 7, Article ID rnm023, 33 p. (2007). Reviewer: Paul Vojta (Berkeley) MSC: 37P30 11G50 14G40 PDFBibTeX XMLCite \textit{S. Kawaguchi}, Int. Math. Res. Not. 2007, No. 7, Article ID rnm023, 33 p. (2007; Zbl 1208.37056) Full Text: DOI arXiv
Kawaguchi, Shu; Silverman, Joseph H. Dynamics of projective morphisms having identical canonical heights. (English) Zbl 1130.11035 Proc. Lond. Math. Soc. (3) 95, No. 2, 519-544 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11G50 14G40 37F50 PDFBibTeX XMLCite \textit{S. Kawaguchi} and \textit{J. H. Silverman}, Proc. Lond. Math. Soc. (3) 95, No. 2, 519--544 (2007; Zbl 1130.11035) Full Text: DOI
Kawaguchi, Shu Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles. (English) Zbl 1109.14025 J. Reine Angew. Math. 597, 135-173 (2006). Reviewer: Gerd Faltings (Bonn) MSC: 14G40 11G50 37F10 PDFBibTeX XMLCite \textit{S. Kawaguchi}, J. Reine Angew. Math. 597, 135--173 (2006; Zbl 1109.14025) Full Text: DOI
Kawaguchi, Shu Canonical height functions for affine plane automorphisms. (English) Zbl 1101.11019 Math. Ann. 335, No. 2, 285-310 (2006). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11G50 32H50 14G40 37F10 PDFBibTeX XMLCite \textit{S. Kawaguchi}, Math. Ann. 335, No. 2, 285--310 (2006; Zbl 1101.11019) Full Text: DOI
Kawaguchi, Shu; Yoshikawa, Ken-Ichi Complex curves of genus three, Kummer surfaces and Quillen metrics. (English) Zbl 1085.14031 Manuscr. Math. 118, No. 2, 201-225 (2005). Reviewer: Isidro Nieto Baños (Guanajuato) MSC: 14J15 32G20 32N10 32N15 14J28 58J52 11F46 14G40 PDFBibTeX XMLCite \textit{S. Kawaguchi} and \textit{K.-I. Yoshikawa}, Manuscr. Math. 118, No. 2, 201--225 (2005; Zbl 1085.14031) Full Text: DOI
Kawaguchi, Shu Canonical heights, invariant currents, and dynamical systems of morphisms associated with line bundles. arXiv:math/0405006 Preprint, arXiv:math/0405006 [math.NT] (2004). MSC: 11G50 14G40 58F23 BibTeX Cite \textit{S. Kawaguchi}, ``Canonical heights, invariant currents, and dynamical systems of morphisms associated with line bundles'', Preprint, arXiv:math/0405006 [math.NT] (2004) Full Text: arXiv
Kawaguchi, Shu; Moriwaki, Atsushi; Yamaki, Kazuhiko Introduction to Arakelov geometry. (English) Zbl 1051.14028 Ohbuchi, Akira (ed.) et al., Proceedings of the symposium on algebraic geometry in East Asia, Kyoto, Japan, August 3–10, 2001. River Edge, NJ: World Scientific (ISBN 981-238-265-8/hbk). 1-74 (2002). Reviewer: Günter Lettl (Graz) MSC: 14G40 14K12 PDFBibTeX XMLCite \textit{S. Kawaguchi} et al., in: Proceedings of the symposium on algebraic geometry in East Asia, Kyoto, Japan, August 3--10, 2001. River Edge, NJ: World Scientific. 1--74 (2002; Zbl 1051.14028)
Kawaguchi, Shu; Moriwaki, Atsushi Inequalities for semistable families of arithmetic varieties. (English) Zbl 1041.14007 J. Math. Kyoto Univ. 41, No. 1, 97-182 (2001). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 14G40 14C15 14F45 PDFBibTeX XMLCite \textit{S. Kawaguchi} and \textit{A. Moriwaki}, J. Math. Kyoto Univ. 41, No. 1, 97--182 (2001; Zbl 1041.14007) Full Text: DOI arXiv
Kawaguchi, Shu Height and arithmetic intersection for a family of semi-stable curves. (English) Zbl 0973.14012 J. Math. Kyoto Univ. 39, No. 3, 469-492 (1999). Reviewer: A.Dabrowski (Szczecin) MSC: 14G40 14C40 11G50 PDFBibTeX XMLCite \textit{S. Kawaguchi}, J. Math. Kyoto Univ. 39, No. 3, 469--492 (1999; Zbl 0973.14012) Full Text: DOI arXiv
Kawaguchi, Shu Some remarks on rational periodic points. (English) Zbl 0959.14006 Math. Res. Lett. 6, No. 5-6, 495-509 (1999). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 14G05 14G40 11G50 PDFBibTeX XMLCite \textit{S. Kawaguchi}, Math. Res. Lett. 6, No. 5--6, 495--509 (1999; Zbl 0959.14006) Full Text: DOI