Add to ORKGWe develop a new technique for studying ranks of multiplication maps for linear series via limit linear series and degenerations to chains of genus-1 curves. We use this approach to prove a purely elementary criterion for proving cases of the Maximal Rank Conjecture, and then apply the criterion to several ranges of cases, giving a new proof of the case of quadrics, and also treating several families in the case of cubics. Our proofs do not require restrictions on direction of approach, so we recover new information on the locus in the moduli space of curves on which the maximal rank condition fails
Abstract. We explore the relationship between limit linear series and fibers of Abel maps in the cas...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
Abstract. We generalize a construction of families of moderate rank elliptic curves over Q to number...
In order to prove new existence results in Brill-Noether theory for rank-2 vector bundles w...
summary:A conjecture due to Honda predicts that given any abelian variety over a number field $K$, a...
The aim of this paper is to develop a purely combinatorial theory of limit linear series on metric g...
Using limit linear series and a result controlling degeneration from separable maps to in-separable ...
A non-singular curve Yfi p3 of genus g is said to be canonical if its plane section is a canonical d...
I hope that this book is simultaneously accessible on two different levels: first, most of the ideas...
We first prove a generalized Brill-Noether theorem for linear series with prescribed multiv...
We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that t...
Let Q = P-1 x P-1 and let C subset of Q be a curve of type (a, b) having equation F = 0. The main pu...
We say that a curve X of genus g has maximally computed Clifford index if the Clifford index c of X ...
A metrized complex of algebraic curves over an algebraically closed field κ is, roughly speaking, a ...
We explore the relationship between limit linear series and fibers of Abel maps in the case...
Abstract. We explore the relationship between limit linear series and fibers of Abel maps in the cas...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
Abstract. We generalize a construction of families of moderate rank elliptic curves over Q to number...
In order to prove new existence results in Brill-Noether theory for rank-2 vector bundles w...
summary:A conjecture due to Honda predicts that given any abelian variety over a number field $K$, a...
The aim of this paper is to develop a purely combinatorial theory of limit linear series on metric g...
Using limit linear series and a result controlling degeneration from separable maps to in-separable ...
A non-singular curve Yfi p3 of genus g is said to be canonical if its plane section is a canonical d...
I hope that this book is simultaneously accessible on two different levels: first, most of the ideas...
We first prove a generalized Brill-Noether theorem for linear series with prescribed multiv...
We find bounds for the genus of a curve over a field of characteristic p under the hypothesis that t...
Let Q = P-1 x P-1 and let C subset of Q be a curve of type (a, b) having equation F = 0. The main pu...
We say that a curve X of genus g has maximally computed Clifford index if the Clifford index c of X ...
A metrized complex of algebraic curves over an algebraically closed field κ is, roughly speaking, a ...
We explore the relationship between limit linear series and fibers of Abel maps in the case...
Abstract. We explore the relationship between limit linear series and fibers of Abel maps in the cas...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
Abstract. We generalize a construction of families of moderate rank elliptic curves over Q to number...