Extended period domains and algebraic groups

Abstract

For a linear algebraic group $G$ over $\mathbf{Q}$, we consider the period domains $D$ classifying $G$-mixed Hodge structures, and construct the extended period domains $D_{\Sigma }$. In particular, we give toroidal partial compactifications of mixed Mumford--Tate domains, mixed Shimura varieties over $\mathbf{C}$, and higher Albanese manifolds.

References in corpus (1)

• Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits