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math.AG2000
The Castelnuovo-Mumford regularity of an integral variety of a vector field on projective space
Eduardo Esteves
The Castelnuovo-Mumford regularity r of a complex, projective variety V is an upper bound for the degrees of the hypersurfaces necessary to cut out V. In this note we give a bound…
math.AG2000★ 9 cited
An analogous of Jouanolou's Theorem in positive characteristic
Jorge Vitorio Pereira
We show that a generic vector field on an affine space of positive characteristic admits an invariant algebraic hypersurface. This contrast with Jouanolou's Theorem that shows that…
math.AG2000
Limit canonical systems on curves with two components
Eduardo Esteves, Nivaldo Medeiros
In the 80's D. Eisenbud and J. Harris considered the following problem: ``What are the limits of Weierstrass points in families of curves degenerating to stable curves?'' But for t…