2 citations · 5 across the 8 of their papers we have counts for
8 papers
Some remarks on cyclic Galois coverings of the projective line over finite fields
Alberto Besana, Cristina Martinez Ramirez
We study cyclic finite Galois extensions of the rational function field of the projective line P^{1}(F_q) over a finite field F_q with q elements defined by considering quotient cu…
Abelian fibrations and SYZ mirror conjecture
Cristina Martínez Ramírez
SYZ mirror conjecture predicts that a Calabi-Yau manifold consists of a family of tori which are dual to a family of special lagrangian tori on the mirror dual manifold $\hat{X…
Derived equivalences of Calabi-Yau fibrations
Cristina Martinez Ramirez, Andrey Todorov
We consider fibrations by abelian surfaces and K3 surfaces over a one dimensional base that are Calabi-Yau and we obtain dual fibrations that are derived equivalent to the original…
On Brill-Noether loci over Quot schemes and a Torelli theorem
Cristina Martinez Ramirez
We prove a non abelian Torelli type result for smooth projective curves by working in the derived category of some associated polarized Quot schemes and defining Brill-Noether loci…
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…