47 research outputs found
A high fibered power of a family of varieties of general type dominates a variety of general type
We prove the following theorem:
Fibered Power Theorem: Let X\rar B be a smooth family of positive
dimensional varieties of general type, with irreducible. Then there exists
an integer , a positive dimensional variety of general type , and a
dominant rational map X^n_B \das W_n.Comment: Latex2e (in latex 2.09 compatibility mode). To get a fun-free version
change the `FUN' variable to `n' on the second line (option dedicated to my
friend Yuri Tschinkel). Postscript file with color illustration available on
http://math.bu.edu/INDIVIDUAL/abrmovic/fibered.p
Darboux theory of integrability for a class of nonautonomous vector fields
The goal of this paper is to extend the classical Darboux theory of integrability
from autonomous polynomial vector fields to a class of nonautonomous vector
fields. We also provide sufficient conditions for applying this theory of integrability
and we illustrate this theory in several examples.Postprint (published version
À Propos D’un Théorème de J.-P. Jouanolou Concernant les Feuilles Fermées des Feuilletages Holomorphes
Automorphisms and non-integrability
On this note we prove that a holomorphic foliation of the projective plane with rich, but finite, automorphism group does not have invariant algebraic curves.<br>Seja {mathcal F} uma folheação do plano projetivo complexo de grau d com grupo de automorfismo finito e cuja ação no espaço de cofatores não possui ponto fixo. Neste artigo mostramos que se {mathcal F} possui ao menos uma singularidade genérica então {mathcal F} não possui nenhuma curva algébrica invariante