15 research outputs found
of smooth points of a log del Pezzo surface is finite : I
A log del Pezzo surface is a normal projective surface defined over the field of complex numbers, such that has at most quotient singularities and is ample, where denotes the canonical divisor. The main result of this work is the following theorem: \proclaimit{Theorem.}{Let be a log del Pezzo surface. Then the fundamental group of the space of smooth points of is finite.} We also give a quite precise description of the singularities of when has Picard group of rank 1