22 citations · 112 across the 35 of their papers we have counts for
24 papers · 1 filter
Moduli of parabolic bundles on an elliptic curve
Roberto Alvarenga, Inder Kaur, Frank Loray
A lot is known about the moduli space of parabolic bundles over curves of genus , but the lower genus cases are notably different. The goal of this article is to study the…
Moduli of Higgs bundles over the two punctured elliptic curve
Thiago Fassarella, Frank Loray
We study moduli spaces of Higgs bundles with two poles on an elliptic curve. We describe all singular fibers of the Hitchin map, including the nilpotent cone. To achieve this, we c…
Character varieties, hexagonal 3-webs and Hess connection
Adjaratou Arame Diaw, Karamoko Diarra, Frank Loray +1
We investigate the existence of some affine structure on SL 2 (C)-character varieties on the four-punctured sphere through web and symplectic geometry. This work provides a new pro…
Non-algebraizable neighborhoods of curves
Maycol Falla Luza, Frank Loray, Paulo Sad
We provide several families of compact complex curves embedded in smooth complex surfaces such that no neighborhood of the curve can be embedded in an algebraic surface. Different…
Canonical coordinates for moduli spaces of rank two irregular connections on curves
Arata Komyo, Frank Loray, Masa-Hiko Saito +1
In this paper, we study a geometric counterpart of the cyclic vector which allow us to put a rank 2 meromorphic connection on a curve into a ``companion'' normal form. This allow u…
Moduli of Higgs bundles over the five punctured sphere
Thiago Fassarella, Frank Loray
We look at rank two parabolic Higgs bundles over the projective line minus five points which are semistable with respect to a weight vector . The moduli space correspo…