Viehweg's hyperbolicity conjecture for families with maximal variation

DOI10.1007/s00222-016-0698-9zbMath1375.14043arXiv1511.00294OpenAlexW2963793056WikidataQ123167395 ScholiaQ123167395MaRDI QIDQ2356909

Christian Schnell, Mihnea Popa

Publication date: 7 June 2017

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00294

zbMATH Keywords

Viehweg's conjectureHodge modulesbase space of familiesmaximal variation

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Fibrations, degenerations in algebraic geometry (14D06) Variation of Hodge structures (algebro-geometric aspects) (14D07) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (13)

On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties (with an appendix by Dan Abramovich) ⋮ ALGEBRAIC FIBER SPACES AND CURVATURE OF HIGHER DIRECT IMAGES ⋮ Specialness and isotriviality for regular algebraic foliations ⋮ Logarithmic comparison with smooth boundary divisor in mixed Hodge modules ⋮ Isotriviality of smooth families of varieties of general type ⋮ Birational geometry of smooth families of varieties admitting good minimal models ⋮ Algebraic geometry: moduli spaces, birational geometry and derived aspects. Abstracts from the workshop held July 10--16, 2022 ⋮ Hodge sheaves underlying flat projective families ⋮ Logarithmic Kodaira dimension and zeros of holomorphic log-one-forms ⋮ Strict Arakelov inequality for a family of varieties of general type ⋮ Level structures on abelian varieties, Kodaira dimensions, and Lang's conjecture ⋮ Brody hyperbolicity of base spaces of certain families of varieties ⋮ On the Kodaira dimension of base spaces of families of manifolds

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