Unique range sets and uniqueness polynomials for algebraic curves

DOI10.1090/S0002-9947-06-04018-9zbMath1119.14021OpenAlexW1499450914MaRDI QIDQ3420258

Julie Tzu-Yueh Wang, Ta Thi Hoai An

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04018-9

zbMATH Keywords

algebraic curvesalgebraic function fieldsdistributions of values

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Riemann surfaces; Weierstrass points; gap sequences (14H55) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (3)

Value-sharing of meromorphic functions on a Riemann surface ⋮ HEIGHTS OF FUNCTION FIELD POINTS ON CURVES GIVEN BY EQUATIONS WITH SEPARATED VARIABLES ⋮ Shared values of meromorphic functions on a compact Riemann surface

Cites Work

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• Finiteness theorems for abelian varieties over number fields.
• Shared values of meromorphic functions on compact Riemann surfaces
• On uniqueness of meromorphic functions sharing finite sets
• Strong uniqueness polynomials: The complex case
• The Equation f(X) = f(Y) in Rational Functions X = X(t), Y = Y(t)
• Uniqueness polynomials and bi-unique range sets for rational functions and non-Archimedean meromorphic functions
• Unique range sets and uniqueness polynomials in positive characteristic II
• Meromorphic Functions That Share Four Values
• UNIQUENESS POLYNOMIALS FOR COMPLEX MEROMORPHIC FUNCTIONS
• UNIQUENESS POLYNOMIALS FOR ENTIRE FUNCTIONS

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