On the negativity of kernels of Kodaira–Spencer maps on Hodge bundles and applications

By K. Zuo. 2000

101 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Viehweg’s hyperbolicity conjecture for families with maximal variation (2015, methodology): “The weak positivity of Kk(E•) ∨, with Kk(E•) := ker ( θk : Ek −→ Ω 1 X(logD)⊗ Ek+1 ) , is deduced in [PW] (see Theorem 4.9 and its proof, a step towards the proof of Theorem 18.1) as a quick corollary of the results of [Zuo00] and [Bru15].”
Base Spaces of Non-Isotrivial Families of Smooth Minimal Models (2001, background): “…6.2. i) Under the assumptions made in 6.1, a) or c), the scheme H is of finite type. ii) Under the assumption 6.1, b), there exists an open subscheme Ug in U such that there are only finitely many irreducible components of H which parameterize morphisms π : C → Y with π(C0) ⊂ U and π(C0)∩Ug 6= ∅.”
Positivity Of Direct Image Sheaves And Applications To Families Of Higher Dimensional Manifolds (2000, background): “a) and b) have been verified by Zuo [34], under the additional assumption that the local Torelli theorem holds true for the general fibre F of g.”
Symmetric differentials and the fundamental group (2012, background): “Zuo’s results on variations of Hodge structure [16, 44], from weak positivity of the cotangent bundle (analogous to “pseudoeffectivity” in the case of line bundles) to bigness.”