4 papers · 1 filter
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…
Triple canonical covers of varieties of minimal degree
Francisco Javier Gallego, Bangere P. Purnaprajna
In this article we study pluriregular varieties X of general type with base-point-free canonical bundle whose canonical morphism has degree 3 and maps X onto a variety of minimal d…
On the Canonical Ring of Covers of Surfaces of Minimal Degree
Francisco J. Gallego, B. P. Purnaprajna
Let f be a generically finite morphism from X to Y. The purpose of this paper is to show how the O_Y algebra structure on the push forward of O_X controls algebro-geometric aspects…
Some results on rational surfaces and Fano varieties
Francisco Javier Gallego, B. P. Purnaprajna
The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-poin…