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arXiv · 1005.2478

Normality and non-normality of group compactifications in simple projective spaces

Paolo Bravi·Jacopo Gandini·Andrea Maffei·Alessandro Ruzzi
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Abstract

If $G$ is a complex simply connected semisimple algebraic group and if $λ$ is a dominant weight, we consider the compactification $X_λ$ in the projectivisation of $\End(V(λ))$ obtained as the closure of the $G\times G$-orbit of the identity and we give necessary and sufficient conditions on the support of $λ$ so that $X_λ$ is normal; as well, we give necessary and sufficient conditions on the support of $λ$ so that $X_λ$ is smooth.

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Paolo Bravi, Jacopo Gandini, Andrea Maffei, Alessandro Ruzzi. 2011-01-17. Normality and non-normality of group compactifications in simple projective spaces. https://doi.org/10.5802/aif.2679

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