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Arakelov-type inequalities for Hodge bundles
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abstract
We give a proof of generalizations of the classical Arakelov inequality valid for the degree $d$ of the relative canoincal bundle of a family of curves of genus $g$ over a complete curve of genus $p$ under the assumption that the monodromy around the singular fibers is unipotent. This relative canonical bundle is the (canonical extension of) the Hodge bundle and the inequality is generalized to the degrees of the Hodge bundles of a complex variation of Hodge structures.
Forward citations
Cited by 3 Pith papers
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Proves algebraic hyperbolicity and big Picard theorems for Kähler manifolds with zero-dimensional period maps from polarized VHS, plus hyperbolicity and general type properties for their compactifications.
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