AbstractWe find bounds for the genus of a curve over a field of characteristic p under the hypothesis that the Cartier operator of this curve has low rank and in the case where it is nilpotent
AbstractIn this article we find upper bounds on the Rao function for space curves in terms of the de...
In this article we apply the classical method of focal loci of families to give a lower bound for th...
Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic ext...
We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that t...
AbstractWe find bounds for the genus of a curve over a field of characteristic p under the hypothesi...
In this thesis we deal with the a-numbers of curves in characteristic p and with the Ekedahl-Oort st...
In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and...
We give a bound on the a-numbers of the Jacobian varieties of Kummer covers of the projective line ...
We develop a new technique for studying ranks of multiplication maps for linear series via limit lin...
ABSTRACT: In this paper we study the X-rank of points with respect to smooth linearly normal curves ...
International audienceIn this paper we study the $X$-rank of points with respect to smooth linearly ...
We show that the average and typical ranks in a certain parametric family of elliptic curves describ...
AbstractIn this paper we show an Arakelov inequality for semi-stable families of algebraic curves of...
We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in...
AbstractIn this note, we discuss lower bounds for the ranks of CM types. Let (K, S) be a simple CM t...
AbstractIn this article we find upper bounds on the Rao function for space curves in terms of the de...
In this article we apply the classical method of focal loci of families to give a lower bound for th...
Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic ext...
We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that t...
AbstractWe find bounds for the genus of a curve over a field of characteristic p under the hypothesi...
In this thesis we deal with the a-numbers of curves in characteristic p and with the Ekedahl-Oort st...
In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and...
We give a bound on the a-numbers of the Jacobian varieties of Kummer covers of the projective line ...
We develop a new technique for studying ranks of multiplication maps for linear series via limit lin...
ABSTRACT: In this paper we study the X-rank of points with respect to smooth linearly normal curves ...
International audienceIn this paper we study the $X$-rank of points with respect to smooth linearly ...
We show that the average and typical ranks in a certain parametric family of elliptic curves describ...
AbstractIn this paper we show an Arakelov inequality for semi-stable families of algebraic curves of...
We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in...
AbstractIn this note, we discuss lower bounds for the ranks of CM types. Let (K, S) be a simple CM t...
AbstractIn this article we find upper bounds on the Rao function for space curves in terms of the de...
In this article we apply the classical method of focal loci of families to give a lower bound for th...
Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic ext...