Chapter VII: Arakelov Geometry, Heights, Equidistribution, and the Bogomolov Conjecture

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_8 ◽

2020 ◽

pp. 299-328

Author(s):

Antoine Chambert-Loir

Keyword(s):

Arakelov Geometry ◽

Bogomolov Conjecture

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A tropical approach to nonarchimedean Arakelov geometry

Algebra & Number Theory ◽

10.2140/ant.2017.11.77 ◽

2017 ◽

Vol 11 (1) ◽

pp. 77-180 ◽

Author(s):

Walter Gubler ◽

Klaus Künnemann

Keyword(s):

Arakelov Geometry

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The Dynamical Manin–Mumford Conjecture and the Dynamical Bogomolov Conjecture for split rational maps

Journal of the European Mathematical Society ◽

10.4171/jems/869 ◽

2019 ◽

Vol 21 (5) ◽

pp. 1571-1594 ◽

Author(s):

Dragos Ghioca ◽

Khoa Nguyen ◽

Hexi Ye

Keyword(s):

Rational Maps ◽

Bogomolov Conjecture

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The genus two free boson in Arakelov geometry

Nuclear Physics B ◽

10.1016/j.nuclphysb.2020.115184 ◽

2020 ◽

Vol 960 ◽

pp. 115184

Author(s):

Thomas Vandermeulen

Keyword(s):

Genus Two ◽

Arakelov Geometry

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LECTURES ON ARAKELOV GEOMETRY

Bulletin of the London Mathematical Society ◽

10.1112/blms/26.4.408 ◽

1994 ◽

Vol 26 (4) ◽

pp. 408-409

Author(s):

G. Faltings

Keyword(s):

Arakelov Geometry

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A fixed point formula of Lefschetz type in Arakelov geometry I: statement and proof

Inventiones mathematicae ◽

10.1007/s002220100151 ◽

2001 ◽

Vol 145 (2) ◽

pp. 333-396 ◽

Author(s):

Kai Köhler ◽

Damian Roessler

Keyword(s):

Fixed Point ◽

Lefschetz Type ◽

Arakelov Geometry

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Correspondences in Arakelov geometry and applications to the case of Hecke operators on modular curves

manuscripta mathematica ◽

10.1007/s00229-011-0455-8 ◽

2011 ◽

Vol 136 (3-4) ◽

pp. 501-543 ◽

Author(s):

Ricardo Menares

Keyword(s):

Hecke Operators ◽

Modular Curves ◽

Arakelov Geometry

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The geometric Bogomolov conjecture

Duke Mathematical Journal ◽

10.1215/00127094-2020-0044 ◽

2020 ◽

Author(s):

Serge Cantat ◽

Ziyang Gao ◽

Philipp Habegger ◽

Junyi Xie

Keyword(s):

Bogomolov Conjecture

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Arakelov Geometry

10.1090/mmono/244 ◽

2014 ◽

Author(s):

Atsushi Moriwaki

Keyword(s):

Arakelov Geometry

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Lang-Bogomolov conjecture

Translations of Mathematical Monographs - Arakelov Geometry ◽

10.1090/mmono/244/09 ◽

2014 ◽

pp. 249-278

Keyword(s):

Bogomolov Conjecture

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Arakelov geometry on general arithmetic varieties

Translations of Mathematical Monographs - Arakelov Geometry ◽

10.1090/mmono/244/05 ◽

2014 ◽

pp. 141-195

Keyword(s):

Arakelov Geometry

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