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Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space

Authors :
Tan, Chengliang
Korhonen, Risto
Publication Year :
2024

Abstract

In this paper, an Askey-Wilson version of the Wronskian-Casorati determinant $\mathcal{W}(f_{0}, \dots, f_{n})(x)$ for meromorphic functions $f_{0}, \dots, f_{n}$ is introduced to establish an Askey-Wilson version of the general form of the Second Main Theorem in projective space. This improves upon the original Second Main Theorem for the Askey-Wilson operator due to Chiang and Feng. In addition, by taking into account the number of irreducible components of hypersurfaces, an Askey-Wilson version of the Truncated Second Main Theorem for holomorphic curves into projective space with hypersurfaces located in $l$-subgeneral position is obtained.<br />Comment: 50 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2412.08510
Document Type :
Working Paper