activity
20032026
most citedDeformation of canonical morphisms and the moduli of surfaces of general type

17 citations · 20 across the 4 of their papers we have counts for

collaborators

6 papers

math.AG2026

Very stable parabolic -Higgs bundles and affine flag varieties

Miguel González

Let be a semisimple complex algebraic group. We study the -action on the moduli space of strongly parabolic -Higgs bundles over a punctured curve with weig…

math.AG2015

Deformations of canonical triple covers

Francisco Javier Gallego, Miguel Gonzalez, Bangere P. Purnaprajna

In this paper, we show that if is a smooth variety of general type of dimension for which the canonical map induces a triple cover onto , where is a projectiv…

math.AG2015

Deformations of canonical double covers

Francisco Javier Gallego, Miguel Gonzalez, Bangere P. Purnaprajna

In this paper, we show that if is a smooth variety of general type of dimension , for which its canonical map induces a double cover onto , where is a projecti…

math.AG2010★ 17 cited

Deformation of canonical morphisms and the moduli of surfaces of general type

F. J. Gallego, M. González, B. P. Purnaprajna

In this article we study the deformation of finite maps and show how to use this deformation theory to construct varieties with given invariants in a projective space. Among other…

math.AG2006★ 2 cited

K3 double structures on Enriques surfaces and their smoothings

Francisco Javier Gallego, Miguel Gonzalez, Bangere P. Purnaprajna

Let be a smooth Enriques surface. A carpet on is a locally Cohen-Macaulay double structure on with the same invariants as a smooth surface (i.e., regular and…

math.AG2003★ 1 cited

Smoothing of ribbons over curves

Miguel Gonzalez

We prove that ribbons, i.e. double structures associated with a line bundle $\SE$ over its reduced support, a smooth irreducible projective curve of arbitrary genus, are smoothable…