Abstract
The wonderful compactification [Formula: see text] of a symmetric homogeneous space of type AIII[Formula: see text] for each [Formula: see text] is Fano, and its blowup [Formula: see text] along the unique closed orbit is Fano if [Formula: see text] and Calabi–Yau if [Formula: see text]. Using a combinatorial criterion for K-polystability of smooth Fano spherical varieties obtained by Delcroix, we prove that [Formula: see text] admits a Kähler–Einstein metric for each [Formula: see text] and [Formula: see text] admits a Kähler–Einstein metric if and only if [Formula: see text].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
