EXTENSIONS OF FORMAL HODGE STRUCTURES

作者:Mazzari Nicola*
来源:Communications in Algebra, 2011, 39(4): 1372-1393.
DOI:10.1080/00927871003705575

摘要

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 Ext(1) in FHSn. This formula generalizes the classical one to the case of proper but not necessarily smooth complex varieties.

  • 出版日期2011