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math.AG2005★ 1 cited
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…
math.AG2004
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…
math.AG1999
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…