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En esta tesis se demuestra que las cintas, i.e. estructuras dobles asociadas a un fibrado de línea E sobre su soporte reducido, una curva proyectiva lisa e irreduciblede género arbitrario, son alisables si tienen género aritmético mayor o igual [...]texto impreso
Gallego Rodrigo, Francisco Javier ; González Andrés, Miguel ; Purnaprajna, Bangere P. | Springer-Verlag | 2010-06-05In 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 things, we prove a criterion that determines when a finite map ca[...]texto impreso
Gallego Rodrigo, Francisco Javier ; González Andrés, Miguel ; Purnaprajna, Bangere P. | Cambridge University Press | 2008-03-14In this paper we prove that most ropes of arbitrary multiplicity supported on smooth curves can be smoothed. By a rope being smoothable we mean that the rope is the flat limit of a family of smooth, irreducible curves. To construct a smoothing, [...]texto impreso
Gallego Rodrigo, Francisco Javier ; Purnaprajna, Bangere P. ; González Andrés, Miguel | Elsevier Science B.V. (North-Holland) | 2008-05Let Y be a smooth Enriques surface. A K3 carpet on Y is a double structure on Y with the same invariants as a smooth K3 surface (i.e., regular and with trivial canonical sheaf). The surface Y possesses an etale K3 double cover X -> (pi) over bar[...]
