We define and study the properties of the category FHSn of formal Hodge structure of level ≤n following the ideas of Barbieri-Viale who discussed the case of level ≤1. As an application, we describe the generalized Albanese variety of Esnault, Srinivas, and Viehweg via the group Ext1 in FHSn. This formula generalizes the classical one to the case of proper but not necessarily smooth complex varieties. © Taylor & Francis Group, LLC.
Extensions of formal hodge structures
Mazzari Nicola
2011
Abstract
We define and study the properties of the category FHSn of formal Hodge structure of level ≤n following the ideas of Barbieri-Viale who discussed the case of level ≤1. As an application, we describe the generalized Albanese variety of Esnault, Srinivas, and Viehweg via the group Ext1 in FHSn. This formula generalizes the classical one to the case of proper but not necessarily smooth complex varieties. © Taylor & Francis Group, LLC.File in questo prodotto:
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Maz, Extensions of Formal Hodge Structures , 2010..pdf
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