The dimension of the Chow variety of curves
The dimension of the derived category of elliptic curves and tubular weighted projective lines
We show that the dimension of the derived category of an elliptic curve or a tubular weighted projective line is one. We give explicit generators realizing this number, and show that they are in a certain sense minimal.
The Diophantine equation f(x) = g(y)
The Discriminants of a Series of Unimodular Singularities of Space Curves.
The discriminants of curves of genus 2
The divisor of curves with a vanishing theta-null
The Drinfeld Modular Jacobian has connected fibers
We study the integral model of the Drinfeld modular curve for a prime . A function field analogue of the theory of Igusa curves is introduced to describe its reduction mod . A result describing the universal deformation ring of a pair consisting of a supersingular Drinfeld module and a point of order in terms of the Hasse invariant of that Drinfeld module is proved. We then apply Jung-Hirzebruch resolution for arithmetic surfaces to produce a regular model of which, after contractions in...
The Eisenstein descent on J0 (N).
The embedding dimension of the formal Moduli space of certain curve singularities.
The enumeration of simultaneous higher-order contacts between plane curves
The enumerative geometry of plane cubics. II. Nodal and cuspidal cubics.
The equation xyz = x + y + z = 1 in integers of a cubic field.
The Equations for Modular Function Fields of Principal congruence subgroups of prime level.
The equations of space curves on a quadric.
The homogeneous ideals of curves in a double plane have been studied by Chiarli, Greco, Nagel. Completing this work we describe the equations of any curve that is contained in some quadric. As a consequence, we classify the Hartshorne-Rao modules of such curves.
The equivariant fundamental group, uniformization of real algebraic curves, and global complex analytic coordinates on Teichmüller spaces
The Euler characteristic of the moduli space of curves.
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 definition of the Mordell-Weil group of an elliptic curve over a function field