Holomorphic curves into algebraic varieties intersecting divisors in subgeneral position
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DOI: 10.1007/s00208-018-1661-4
Abstract: Recently, there are many developments on the second main theorem for holomorphic curves into algebraic varieties intersecting divisors in general position or subgeneral position. In this paper, we refine the concept of subgeneral position by… read more here.
Keywords: curves algebraic; algebraic varieties; position; varieties intersecting ... See more keywords
Rigidity of holomorphic curves in a hyperquadric Q4
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DOI: 10.1016/j.difgeo.2019.03.006
Abstract: Abstract In this paper, firstly, we obtain the Gauss equation and Codazzi equations of a holomorphic curve in a hyperquadric Q n , and we also compute the Laplace of the square of the length… read more here.
Keywords: second fundamental; holomorphic curves; geometry; curves hyperquadric ... See more keywords
Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves
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DOI: 10.1080/17476933.2019.1588260
Abstract: ABSTRACT In this paper, we extend Montel's normal criterion to a family of holomorphic mappings from a domain of the complex plane into a complex projective space of dimension n. Furthermore, Lappan's five-valued theorem is… read more here.
Keywords: five valued; valued theorem; normal criterion; montel normal ... See more keywords
Uniqueness polynomials for holomorphic curves into the complex projective space
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DOI: 10.2298/fil2002351y
Abstract: In this paper, by making use of uniqueness polynomials for meromorphic functions, we obtain a class of uniqueness polynomials for holomorphic curves from the complex plane into complex projective space. The related uniqueness problems are… read more here.
Keywords: curves complex; projective space; polynomials holomorphic; holomorphic curves ... See more keywords
Degeneracy and finiteness problems for holomorphic curves from a disc into $\mathbf{P}^n(C)$ with finite growth index
Sign Up to like & getrecommendations! Published in 2021 at "Kodai Mathematical Journal"
DOI: 10.2996/kmj44209
Abstract: Let $f^1,f^2,f^3$ are three holomorphic curves from a complex disc $\Delta (R)$ into $\mathbf{P}^n(\mathbf{C})\ (n\ge 2)$ with finite growth indexes $c_{f^1},c_{f^2},c_{f^3}$ and sharing $q (q \ge 2n+2)$ hyperplanes in general position regardless of multiplicity. In… read more here.
Keywords: finite growth; holomorphic curves; mathbf finite; degeneracy finiteness ... See more keywords