5 papers
Hypergraph encoding set systems and their linear representations
Alberto Besana, Cristina Martinez
We study -designs of parameters over finite fields as group divisible designs and set systems admitting a transitive action of a linear group encoded in an hypergraph…
Modeling languages from graph networks
Alberto Besana, Cristina Martínez
We model and compute the probability distribution of the letters in random generated words in a language by using the theory of set partitions, Young tableaux and graph theoretical…
Algebraic codes, Horn's problem and Gromov-Witten invariants
Alberto Besana, Cristina Martinez
We study the Horn problem in the context of algebraic codes on a smooth projective curve defined over a finite field, reducing the problem to the representation theory of the speci…
Enumerative geometry of the curves defined by y^{d}=f(x)
Alberto Besana, Cristina Martinez
We study plane algebraic curves defined over a field k of arbitrary characteristic as coverings of the the projective line and the problem of enumerating branched coverings of $\ma…
On K3 fibered Calabi-Yau 3-folds
Elena Andreini, Cristina Martinez, Andrey Todorov
Given X a K3 surface, a mirror dual to X can be identified with a component of the moduli space of semistable sheaves on X. We consider fibrations by K3 surfaces over a one dimensi…