A Characterization of Five-Dimensional Jacobian Varieties.
A note on a theorem of Griffiths on the Abel-Jacobi map.
A theorem of Gieseker-Petri type for Prym varieties
Abelian varieties and a conjecture of R.M. Robinson.
Abelian varieties associated to certain K3 surfaces
Base Number Theorem for Abelian Varieties. An Infinitesimal Approach.
Big Schottky.
Canonical liftings of jacobians
Characterization of jacobian varieties in arbitrary characteristic
Classification of Vector Bundles of Rank 2 on Hyperelliptic Curves
Curves of genus g lying on a g-dimensional Jacobian variety.
Curves of minimal genus on a general abelian variety
Degenerations of Prym varieties and intersections of three quadrics.
Derived invariance of the number of holomorphic -forms and vector fields
We prove that smooth projective varieties with equivalent derived categories have isogenous Picard varieties. In particular their irregularity and number of independent vector fields are the same. This implies that all Hodge numbers are the same for arbitrary derived equivalent threefolds, as well as other consequences of derived equivalence based on numerical criteria.
Distinguishing Prymians from Jacobians.
Eine Klassenzahlformel für singuläre Moduln der Picardschen Modulgruppen
Fondements de la géométrie algébrique. Commentaires
Galois actions on Néron models of Jacobians
Let be a smooth curve defined over the fraction field of a complete discrete valuation ring . We study a natural filtration of the special fiber of the Néron model of the Jacobian of by closed, unipotent subgroup schemes. We show that the jumps in this filtration only depend on the fiber type of the special fiber of the minimal regular model with strict normal crossings for over , and in particular are independent of the residue characteristic. Furthermore, we obtain information about...
Generalization of Abel's theorem and some finiteness property of zero-cycles on surfaces
Generic torelli for projective hypersurfaces