In his 1928 thesis H. Cartan proved a theorem which can be considered as an extension of Montel's normality criterion to holomorphic curves in complex projective plane P-2. He also conjectured that a similar result is true for holomorphic curves in P-n for any n. A counterexample to this conjecture is constructed for any n greater than or equal to 3.
机构:
Department of Mathematics, Thai Nguyen University of Education, Luong Ngoc Quyen street, Thai Nguyen CityDepartment of Mathematics, Thai Nguyen University of Education, Luong Ngoc Quyen street, Thai Nguyen City
Phuong H.T.
Minh T.H.
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机构:
Department of Mathematics, Thai Nguyen University of Education, Luong Ngoc Quyen street, Thai Nguyen CityDepartment of Mathematics, Thai Nguyen University of Education, Luong Ngoc Quyen street, Thai Nguyen City