The canonical height and integral points on elliptic curves.
The Chow ring of the stack of cyclic covers of the projective line
In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.
The Clifford dimension of a projective curve
The Congruences of Clausen- von Staudt and Kummer for Bernoulli-Hurwitz Numbers.
The curve , is not set-theoretic complete intersection of two quartic surfaces
The degree of the secant variety and the join of monomial curves.
A monomial curve is a curve parametrized by monomials. The degree of the secant variety of a monomial curve is given in terms of the sequence of exponents of the monomials defining the curve. Likewise, the degree of the join of two monomial curves is given in terms of the two sequences of exponents.
The Diophantine equation f(x) = g(y)
The discriminants of curves of genus 2
The enumeration of simultaneous higher-order contacts between plane curves
The enumerative geometry of plane cubics. II. Nodal and cuspidal cubics.
The Fixed Points of the Symmetrie Hilbert Modular Group of a Real Quadratic Field with Arbitrary Discriminant.
The Genus of Curves in P4 and P5.
The Genus of Curves in P4 verifying certain Flag conditions.
The genus of curves over finite fields with many rational points.
The Genus of Maximal Function Fields over Finite Fields.
The Genus of Space Curves.
The Hilbert function of generic plane sections of curves of IP3.
The Lazarsfeld-Rao problem for Buchsbaum curves
The Maximal Rank Conjecture for Non-Special Curves in Ipn.
The Normal Bundle of a Curve on a Quadric.