Computing volume function on projective bundle over a curve

Huayi Chen (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We establish an explicit link between the volume function on a projective variety fibered on a curve and the asymptotic behaviour of the canonical filtration of direct images. As an application, we calculate explicitly the volume function on projective bundle over a curve.

Domains: Algebraic Geometry [math.AG]

Huayi Chen. Computing volume function on projective bundle over a curve. 2008. ⟨hal-00295905⟩