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Computing Instanton Numbers of Curve Singularities
Elizabeth Gasparim, Irena Swanson
We present an algorithm for computing instanton numbers of curve singularities. A comparison is made between these and some other invariants of curve singularities. The algorithm h…
Two applications of instanton numbers
Elizabeth Gasparim
The two applications are: 1. sometimes instanton numbers stratify moduli of bundles better than Chern numbers. 2. sometimes instanton numbers distinguish singularities better than…
Vector bundles on a three dimensional neighborhood of a ruled surface
Edoardo Ballico, Elizabeth Gasparim
Let be a ruled surface inside a smooth threefold and let be a vector bundle on a formal neighborhood of We find minimal conditions under which the local moduli spa…
Vector Bundles on a Neighborhood of an Exceptional Curve and Elementary Transformations
Edoardo Ballico, Elizabeth Gasparim
Let W be the germ of a smooth complex surface around an exceptional curve and let E be a rank 2 vector bundle on W. We study the cohomological properties of a finite sequence $E_i,…
Numerical invariants for bundles on blow-ups
E. Ballico, E. Gasparim
We suggest an effective procedure to calculate numerical invariants for rank two bundles over blown-up surfaces. We study the moduli spaces M_j of bundles on the blown-up plane spl…
Moduli of bundles on the blown-up plane
Elizabeth Gasparim
Let M(j) denote the moduli space of bundles on the blown-up plane which restrict to the exceptional divisor as O(j)+O(-j). We show that there is a topological embedding of M(j) int…