Extended period domains, algebraic groups, and higher Albanese manifolds

2016/11/10 by Kato, Kazuya, Nakayama, Chikara, Usui, Sampei · 1 citation
#32G20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14C30 #Secondary 14D07

paper · doi:10.48550/arxiv.1611.03179

Abstract

For a linear algebraic group G over the field of rational numbers, we consider the period domains D classifying G-mixed Hodge structures, and construct the extended period domains as toroidal partial compactifications. We give an interpretation of higher Albanese manifolds by Hain and Zucker by using the above D for some G, and extend them via the toroidal partial compactifications.

Cited by

• O-minimal geometry of higher Albanese manifolds

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