RT Journal Article
T1 Deformation of canonical morphisms and the moduli of surfaces of general type
A1 Gallego Rodrigo, Francisco Javier
A1 González Andrés, Miguel
A1 Purnaprajna, Bangere P.
AB 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 things, we prove a criterion that determines when a finite map can be deformed to a one-to-one map. We use this criterion to construct new surfaces of general type with birational canonical map, for different c21 and _ (the canonical map of the surfaces we construct is in fact a finite, birational morphism). Our general results enable us to describe some new components of the moduli of surfaces of general type. We also find infinitely many moduli spaces M(x0,0,y) having one component whose general point corresponds to a canonically embedded surface and another component whose general point corresponds to a surface whose canonical map is a degree 2 morphism.
PB Springer-Verlag
SN 1432-1297
YR 2010
FD 2010-06-05
LK https://hdl.handle.net/20.500.14352/41935
UL https://hdl.handle.net/20.500.14352/41935
LA eng
NO UCM research group 910772
NO General Research Fund (GRF) of the University of Kansas
DS Docta Complutense
RD 9 abr 2025