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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 1993 Volume 57, Issue 4, Pages 132–138 (Mi im861)

Pseudoforms with negative curvature on $\mathbf{CP}_n$. II

V. A. Babets


Abstract: On the projective space $\mathbf{CP}_n$ with $2n+2-k$ hyperplanes in general position removed, a pseudoform with negative holomorphic sectional curvature is constructed in the class of $k$-nondegenerate mappings $f\colon\Delta_r\to\mathbf{CP}_n$ $(k=1,\dots,n)$.

UDC: 513.73

MSC: Primary 53A20, 32H20; Secondary 32H30

Received: 25.06.1991


 English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1994, 43:1, 119–125

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© Steklov Math. Inst. of RAS, 2026