Add to ORKGWe study (a generalization of) the notion of linked determinantal loci recently introduced by the second author, showing that as with classical determinantal loci, they are Cohen-Macaulay whenever they have the expected codimension. We apply this to prove Cohen-Macaulayness and flatness for moduli spaces of limit linear series, and to prove a comparison result between the scheme structures of Eisenbud-Harris limit linear series and the spaces of limit linear series recently constructed by the second author. This comparison result is crucial in order to study the geometry of Brill-Noether loci via degenerations
Abstract. We explore the relationship between limit linear series and fibers of Abel maps in the cas...
We describe how the use of a different degeneration from that considered by Eisenbud and Ha...
We develop a new technique for studying ranks of multiplication maps for linear series via limit lin...
We study (a generalization of) the notion of linked determinantal loci recently introduced ...
We show that limit linear series spaces for chains of curves are reduced. Using new advances in the ...
In order to prove new existence results in Brill-Noether theory for rank-2 vector bundles w...
Abstract. In order to prove new existence results in Brill-Noether theory for rank-2 vector bundles ...
Eisenbud and Harris introduced the theory of limit linear series, and constructed a space p...
I hope that this book is simultaneously accessible on two different levels: first, most of the ideas...
We generalize the prior linked symplectic Grassmannian construction, applying it to to prov...
We first prove a generalized Brill-Noether theorem for linear series with prescribed multiv...
We explore the relationship between limit linear series and fibers of Abel maps in the case...
We introduce a notion of limit linear series for nodal curves which are not of compact type...
We compute the Euler characteristic of the structure sheaf of the Brill–Noether locus of linear seri...
Using limit linear series and a result controlling degeneration from separable maps to in-separable ...
Abstract. We explore the relationship between limit linear series and fibers of Abel maps in the cas...
We describe how the use of a different degeneration from that considered by Eisenbud and Ha...
We develop a new technique for studying ranks of multiplication maps for linear series via limit lin...
We study (a generalization of) the notion of linked determinantal loci recently introduced ...
We show that limit linear series spaces for chains of curves are reduced. Using new advances in the ...
In order to prove new existence results in Brill-Noether theory for rank-2 vector bundles w...
Abstract. In order to prove new existence results in Brill-Noether theory for rank-2 vector bundles ...
Eisenbud and Harris introduced the theory of limit linear series, and constructed a space p...
I hope that this book is simultaneously accessible on two different levels: first, most of the ideas...
We generalize the prior linked symplectic Grassmannian construction, applying it to to prov...
We first prove a generalized Brill-Noether theorem for linear series with prescribed multiv...
We explore the relationship between limit linear series and fibers of Abel maps in the case...
We introduce a notion of limit linear series for nodal curves which are not of compact type...
We compute the Euler characteristic of the structure sheaf of the Brill–Noether locus of linear seri...
Using limit linear series and a result controlling degeneration from separable maps to in-separable ...
Abstract. We explore the relationship between limit linear series and fibers of Abel maps in the cas...
We describe how the use of a different degeneration from that considered by Eisenbud and Ha...
We develop a new technique for studying ranks of multiplication maps for linear series via limit lin...