Holomorphic extension of meromorphic mappings along real analytic hypersurfaces

The research article “Holomorphic extension of meromorphic mappings along real analytic hypersurfaces”, authored by METU member Asst. Prof. Özcan Yazıcı, has been published in Annali di Matematica Pura ed Applicata.

Let M⊂ Cⁿ be a real analytic hypersurface, M^′⊂ C^N(N≥ n) be a strongly pseudoconvex real algebraic hypersurface of the special form, and F be a meromorphic mapping in a neighborhood of a point p∈ M which is holomorphic in one side of M. Assuming some additional conditions for the mapping F on the hypersurface M, we proved that F has a holomorphic extension to p. This result may be used to show the regularity of CR mappings between real hypersurfaces of different dimensions.

Yazici, O. (2020). Holomorphic extension of meromorphic mappings along real analytic hypersurfaces. Annali Di Matematica Pura Ed Applicata, 199(4), 1337-1342. doi:10.1007/s10231-019-00923-z

Makaleye erişim için: https://link.springer.com/article/10.1007/s10231-019-00923-z

Keywords:

Holomorphic extension; Meromorphic mappings; Real analytic hypersurfaces

Acknowledgments:

The author is supported by TÜBİTAK 2232 Proj. No. 117C037.