Mesures et équidistribution sur les espaces de Berkovich Page 1 J. reine angew. Math. 595
(2006), 215—235 DOI 10.1515/CRELLE.2006.049 Journal für die reine und angewandte …

Schubert varieties and degeneracy loci have a long history in mathematics, starting from
questions about loci of matrices with given ranks. These notes, from a summer school in …

Heights and reductions of semi-stable varieties Page 1 COMPOSITIO MATHEMATICA SHOUWU
ZHANG Heights and reductions of semi-stable varieties Compositio Mathematica, tome 104, no 1 …

Let L be a big line bundle on a compact complex manifold X. Given a non-pluripolar
compact subset K of X and a continuous Hermitian metric e− φ on L, we define the energy at …

Consider a smooth, geometrically irreducible, projective curve of genus g≥2 defined over a
number field of degree d≥1. It has at most finitely many rational points by the Mordell …

The emphasis of this introductory course is on pluripotential methods in complex dynamics
in higher dimension. They are based on the compactness properties of plurisubharmonic …

arXiv:1204.6277v1 [math.AG] 27 Apr 2012 Page 1 arXiv:1204.6277v1 [math.AG] 27 Apr 2012
Formes différentielles réelles et courants sur les espaces de Berkovich Antoine Chambert-Loir …

We present sharp estimates for the degree and the height of the polynomials in the
Nullstellensatz over the integer ring ℤ. The result improves previous work of P. Philippon, C …

Notre but, dans ce mémoire, est double. Nous étendons tout d'abord la théorie de
l'intersection arithmétique de Gillet-Soulé afin qu'elle englobe les fibres en droites …

In this paper, we first establish a connection between the weight in the geometric invariant
theory and the height introduced by Cornalba and Harris and Zhang. Then we give two …