3 papers
math.AG2020
The Monodromy problem for hyperelliptic curves
Daniel López Garcia
We study the Dynkin diagram associated to the monodromy of direct sums of polynomials. The monodromy problem asks under which conditions on a polynomial, the monodromy of a vanishi…
math.SG2020
Homology supported in Lagrangian submanifolds in mirror quintic threefolds
Daniel López Garcia
In this note we study homological cycles in the mirror quintic Calabi-Yau threefold which can be realized by special Lagrangian submanifolds. We have used Picard-Lefschetz theory t…
math.DG2020
On Hausdorff integrations of Lie algebroids
Matias del Hoyo, Daniel López Garcia
We present Hausdorff versions for Lie Integration Theorems 1 and 2 and apply them to study Hausdorff symplectic groupoids arising from Poisson manifolds. To prepare for these resul…