The Eisenstein descent on J0 (N).
The Equations Defining Abelian Varieties and Modular Functions.
The equations of the abelian surfaces embedded in ...4 (...).
The exponent of an abelian subvariety.
The fibre of the Prym map in genus four
In questa nota si dà una descrizione della fibra della mappa di Prym in genere 4. Se è la Jacobiana di una curva di genere 3, allora la fibra della mappa di Prym in si ottiene dalla varietà di Kummer mediante due scoppiamenti: che è lo scoppiamento di nell'origine e che è lo scoppiamento lungo una curva isomorfa a .
The Fibre of the Prym Map in Genus Three.
The field of moduli of abelian surfaces with complex multiplication.
The Fundamental Group-Scheme of an Abelian Variety.
The generalized Hodge conjecture for stably nondegenerate abelian varieties
The Generic Torelli Theorem for the Prym Map.
The geometric structure of A4, the structure of the Prym map, double solids and ...-divisors.
The global structure of moduli spaces of polarized -divisible groups.
The groups of points on abelian varieties over finite fields
Let A be an abelian variety with commutative endomorphism algebra over a finite field k. The k-isogeny class of A is uniquely determined by a Weil polynomial f A without multiple roots. We give a classification of the groups of k-rational points on varieties from this class in terms of Newton polygons of f A(1 − t).
The Intersection of Four Quadrics in IP6, Abelian Surfaces and their Moduli.
The Kodaira dimension of certain moduli spaces of abelian surfaces
The Kodaira dimension of the moduli space of Prym varieties
We study the enumerative geometry of the moduli space of Prym varieties of dimension . Our main result is that the compactication of is of general type as soon as and is different from 15. We achieve this by computing the class of two types of cycles on : one defined in terms of Koszul cohomology of Prym curves, the other defined in terms of Raynaud theta divisors associated to certain vector bundles on curves. We formulate a Prym–Green conjecture on syzygies of Prym-canonical curves....
The K.P. Hypothesis for decomposable Abelian Varieties.
The moduli space of curves of genus two covering elliptic curves.
The moduli spaces of polarized abelian varieties.
The Mordell conjecture revisited