arXiv subjects

Cristina Martínez Ramírez

Publications and source records attributed to Cristina Martínez Ramírez.

2 recordsLinked to original sources

arXiv2013

On K3 fibrations: towards mirror symmetry

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 dimensional base that are Calabi-Yau and we charaterize the dual fibration that turns to be derived equivalent to the original one relating the problem to mirror symmetry.

math.AG↗

arXiv2012

Abelian fibrations and SYZ mirror conjecture

SYZ mirror conjecture predicts that a Calabi-Yau manifold $X$ consists of a family of tori which are dual to a family of special lagrangian tori on the mirror dual manifold $\hat{X}$. Here we consider a fibration of polarized abelian varieties and we construct a dual one. Moreover we prove that they are equivalent at the level of derived categories.

math.AG↗