{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:V542HYV24ZZGDV2E57XXTLGOBM","short_pith_number":"pith:V542HYV2","schema_version":"1.0","canonical_sha256":"af79a3e2bae67261d744efef79acce0b3d8e12b216c9d889a9c131836c80a482","source":{"kind":"arxiv","id":"1904.05566","version":2},"attestation_state":"computed","paper":{"title":"On the classification by Morimoto and Nagano","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Alexander Isaev","submitted_at":"2019-04-11T07:28:09Z","abstract_excerpt":"We consider a family $M_t^3$, with $t>1$, of real hypersurfaces in a complex affine $3$-dimensional quadric arising in connection with the classification of homogeneous compact simply-connected real-analytic hypersurfaces in ${\\mathbb C}^n$ due to Morimoto and Nagano. To finalize their classification, one needs to resolve the problem of the CR-embeddability of $M_t^3$ in ${\\mathbb C}^3$. In our earlier article we showed that $M_t^3$ is CR-embeddable in ${\\mathbb C}^3$ for all $11$, of real hypersurfaces in a complex affine $3$-dimensional quadric arising in connection with the classification of homogeneous compact simply-connected real-analytic hypersurfaces in ${\\mathbb C}^n$ due to Morimoto and Nagano. To finalize their classification, one needs to resolve the problem of the CR-embeddability of $M_t^3$ in ${\\mathbb C}^3$. In our earlier article we showed that $M_t^3$ is CR-embeddable in ${\\mathbb C}^3$ for all $1