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Embeddings of Spherical Homogeneous Spaces

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Abstract

We review in these notes the theory of equivariant embeddings of spherical homogeneous spaces. Given a spherical homogeneous space G/H, the normal equivariant embeddings of G/H are classified by combinatorial objects called colored fans, which generalize the fans appearing in the classification of toric varieties and which encode several geometric properties of the corresponding variety.

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Acknowledgements

am grateful to Michel Brion and Baohua Fu, both for the invitation and for organizing this workshop and the conference which followed it. I thank Johannes Hofscheier and Dmitry Timashev for helpful discussions, and especially Bart Van Steirteghem and the referee for several remarks and suggestions which improved these notes.

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  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Jacopo Gandini

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  1. Jacopo Gandini
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Gandini, J. Embeddings of Spherical Homogeneous Spaces. Acta. Math. Sin.-English Ser. 34, 299–340 (2018). https://doi.org/10.1007/s10114-018-7162-2

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