2 citations · 3 across the 4 of their papers we have counts for
5 papers
Semi-stable extensions on arithmetic surfaces
C. Soule
On a given arithmetic surface, inspired by work of Miyaoka, we consider vector bundles which are extensions of a line bundle by another one. We give sufficient conditions for their…
Graphic requirements for multistationarity
Christophe Soule
We discuss properties which must be satisfied by a genetic network in order for it to allow differentiation. These conditions are expressed as follows in mathematical terms. Let $F…
An introduction to arithmetic groups
Christophe Soule
Arithmetic groups are groups of matrices with integral entries. We shall first discuss their origin in number theory (Gauss, Minkowski) and their role in the "reduction theory of q…
Torsion cohomology classes and algebraic cycles on complex projective manifolds
C. Soule, C. Voisin
Atiyah and Hirzebruch gave examples ofeven degree torsion classes in the singularcohomology of a smooth complex projective manifold, which arenot Poincaré dual to an algebraiccycle…
Direct images in non-archimedean Arakelov theory
H. Gillet, C. Soulé
We develop a formalism of direct images for metrized vector bundles in the context of the non-archimedean Arakelov theory introduced in our previous joint work with S. Bloch, and w…