Newton-Okounkov bodies on projective bundles over curves

Pedro Montero (1)

1 IF - Institut Fourier

In this article, we study Newton-Okounkov bodies on projective vector bundles over curves. Inspired by Wolfe's estimates used to compute the volume function on these varieties, we compute all Newton-Okounkov bodies with respect to linear flags which are compatible with the Harder-Narasimhan filtration of the bundle. Moreover, we characterize semi-stable vector bundles over curves via Newton-Okounkov bodies.

Mots clés: Newton-Okounkov bodies; Semi-stability of vector bundles; Algebraic curves

Domaines: Géométrie algébrique [math.AG]

Pedro Montero. Newton-Okounkov bodies on projective bundles over curves. 2017. ⟨hal-01493146⟩