Welcome to the preprint archive for papers in Arakelov Geometry and related topics.
Slides of talks.
Various Home Pages of people
working in Arakelov Geometry.
Preprints
- 2012 December 21. The Archive is now closed to new submissions.
- 55 : 2012 July 26,
Erratum: Linear projections and successive minima
, by C. Soulé.
- 54 : 2012 January 24,
On the arithmetic Chern character
, by H. Gillet and C. Soulé.
- 53 : 2010 October 2,
Very stable extensions on arithmetic surfaces
, by C. Soulé (withdrawn).
- 52 : 2010 February 12,
A Lefschetz fixed point formula for singular arithmetic
schemes with smooth generic fibres
, by S. Tang.
- 51 : 2010 February 12,
Concentration theorem and relative fixed point formula
of Lefschetz type in Arakelov geometry
, by S. Tang.
- 50 : 2009 November 3,
Correspondences in Arakelov geometry. Applications to Hecke operators on modular curves
, by R. Menares.
- 49 : 2009 August 28,
Schubert polynomials and Arakelov theory of orthogonal flag varieties
, by H. Tamvakis.
- 48 : 2008 November 21,
Errata : On the number of lattice points in
convex symmetric bodies and their duals
, by H. Gillet and C. Soulé.
- 47 : 2008 October 23,
Hermitian vector bundles and extension groups on arithmetic schemes II.
The arithmetic Atiyah extension
, by J.-B. Bost and K. Künnemann (revised).
- 46 : 2008 October 8,
Continuous extension of arithmetic volumes
, by A. Moriwaki.
- 45 : 2008 August 18,
Schubert polynomials and Arakelov theory of symplectic flag varieties
, by H. Tamvakis.
- 44 : 2008 July 29,
Hermitian vector bundles and extension groups on arithmetic schemes. II.
The arithmetic Atiyah extension
, by J.-B. Bost and K. Künnemann.
- 43 : 2008 June 10,
Formes automorphes et théorèmes de Riemann-Roch arithmétiques
, by V. Maillot and D. Rössler.
- 42 : 2008 April 6,
Linear projections and successive minima
, by C. Soulé.
- 41 : 2007 November 22,
Diophantine approximation on varieties III: Approximation of
non-algebraic points by algebraic points
, by H. Massold.
- 40 : 2007 November 22,
Diophantine Approximation on varieties II: Explicit estimates for
arithmetic Hilbert functions
, by H. Massold.
- 39 : 2007 June 5,
Maximal slope of tensor product of Hermitian vector bundles
, by H. Chen.
- 38 : 2007 April 9,
Heights and metrics with logarithmic singularities
, by G. Freixas i Montplet (revised).
- 37 : 2007 February 6,
On the heights of algebraic points on curves over number fields
, by C. Soulé.
- 36 : 2007 January 12,
Hermitian vector bundles and extension groups on arithmetic schemes. I.
Geometry of numbers
, by J.-B. Bost and K. Künnemann.
- 35 : 2007 January 6,
Continuity of volumes on arithmetic varieties
, by A. Moriwaki (revised).
- 34 : 2006 December 11,
Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety
, by A. Moriwaki.
- 33 : 2006 December 11,
Continuity of volumes on arithmetic varieties
, by A. Moriwaki.
- 32 : 2006 November 5,
Diophantine Approximation on projective Varieties I: Algebraic Distance
and metric Bézout Theorem
, by H. Massold.
- 31 : 2006 September 9,
An arithmetic Riemann-Roch theorem in higher degrees
, by H. Gillet, D. Rössler and C. Soulé.
- 30 : 2006 January 22,
Heights and metrics with logarithmic singularities
, by G. Freixas i Montplet.
- 29 : 2005 December 29,
Genres de Todd et valeurs aux entiers des dérivées de fonctions L
, by C. Soulé.
- 28 : 2005 June 28,
A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality
, by N. Naumann.
- 27 : 2005 May 4,
Semi-stable extensions on arithmetic surfaces
, by C. Soulé.
- 26 : 2004 December 20,
Explicit Mumford isomorphism for hyperelliptic curves
, by R. de Jong.
- 25 : 2004 December 20,
Faltings' delta-invariant of a hyperelliptic Riemann surface
, by R. de Jong.
- 24 : 2004 May 24,
On the Arakelov theory of elliptic curves
, by R. de Jong.
- 23 : 2004 May 24,
Arakelov invariants of Riemann surfaces
, by R. de Jong.
- 22 : 2004 March 26,
Normalized height of projective toric varieties
, by P. Philippon and M. Sombra.
- 21 : 2004 March 10,
Métriques de sous-quotient et théorème de Hilbert-Samuel
arithmétique pour les faisceaux cohérents
, by H. Randriambololona.
- 20 : 2004 March 10,
Hauteurs des sous-schémas de dimension nulle de l'espace projectif
, by H. Randriambololona.
- 19 : 2004 January 30,
Bounding the sup-norm of automorphic forms
, by J. Jorgenson and J. Kramer.
- 18 : 2004 January 5,
Analytic torsion of Hirzebruch surfaces
, by C. Mourougane.
- 17 : 2004 January 4,
Arakelov theory of even orthogonal Grassmannians
, by H. Tamvakis.
- 16 : 2003 December 23,
Canonical heights defined on the affine plane
associated with Hénon maps
, by S. Kawaguchi.
- 15 : 2003 December 23,
Canonical heights arising from several morphisms
, by S. Kawaguchi.
- 14 : 2003 May 9,
Computations of Bott-Chern classes on P(E)
, by C. Mourougane.
- 13 : 2003 April 17,
An integral characterizing the Andreotti-Mayer locus
, by J. Kramer and R. Salvati Manni.
- 12 : 2003 March 24,
Cohomological Arithmetic Chow Rings
, by J. I. Burgos, J. Kramer and U. Kühn.
- 11 : 2003 March 24,
Metrized line bundles on products of curves over local fields and functions
on reduction complexes
, by N. Heinz.
- 10 : 2003 March 24,
Admissible metrics for line bundles on curves and abelian varieties
over non-archimedean local fields
, by N. Heinz.
- 9 : 2003 January 5,
p-adic Arakelov theory
, by A. Besser.
- 8 : 2002 September 17,
Successive minima of projective toric varieties
, by M. Sombra.
- 7 : 2002 September 14,
On the periods of motives with complex multiplication and
a conjecture of Gross-Deligne
, by V. Maillot and D. Roessler.
- 6 : 2002 August 19,
Polylogarithms, regulators and Arakelov motivic complexes
, by A. B. Goncharov (revised).
- 5 : 2002 August 7,
The number of algebraic cycles with bounded degree
, by A. Moriwaki.
- 4 : 2002 July 4,
Polylogarithms, regulators and Arakelov motivic complexes
, by A. B. Goncharov.
- 3 : 2002 June 1,
A Hirzebruch proportionality principle in Arakelov geometry ,
by K. Köhler.
- 2 : 2002 May 31,
Specialization of Green forms and arithmetic intersection theory ,
by J. Hu.
- 1 : 2002 May 25,
Conjectures sur les dérivées logarithmiques des fonctions L d'Artin aux entiers négatifs ,
by V. Maillot and D. Roessler.
V. Maillot
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