2 citations · 5 across the 8 of their papers we have counts for
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On a stratification of the Kontsevich space of the Grassmannian G(2,4) and enumerative geometry
Cristina Martinez Ramirez
We study the geometry of the Kontsevich compactification of stable maps to the Grassmannian of lines in the projective space. We consider a stratification of this space. As an appl…
Intersections numbers on the compact variety of rational ruled surfaces
Cristina Martinez Ramirez
We consider the Quot scheme, R_{d}, compactifying the space of degree d maps from the projective line to the Grassmannian of lines. We give an algorithm for computing the degree of…
The degree of the variety of rational ruled surfaces and Gromov-Witten invariants
Cristina Martinez Ramirez
We compute the degree of the variety parametrizing rational ruled surfaces of degree d in the projective space by relating the problem to Gromov-Witten invariants and Quantum cohom…
On the cohomology of Brill-Noether loci over Quot schemes
Cristina Martinez Ramirez
Let C be a smooth projective curve over the field of the complex numbers. We consider Brill-Noether loci over the moduli of maps from C to the Grassmannian G(m,n) and the correspon…