Classifying spaces of degenerating mixed Hodge structures, V: 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 $D_{\mathrm{BS}}$, $D_{\mathrm{SL}(2)}$, and $\Gamma \backslash D_{\Sigma }$. In particular, we give toroidal partial compactifications of mixed Mumford--Tate domains.

References in corpus (1)

• Boundary Components of Mumford-Tate Domains