Quasi-equivalence of heights in algebraic function fields of one variable

Abelard, 2020, Sub-quadratic time for Riemann-Roch spaces: case of smooth divisors over nodal plane projective curves, 14 Abouzaid, 2008, Heights and logarithmic gcd on algebraic curves, Int. J. Number Theory, 4, 177, 10.1142/S1793042108001298 Bartolome, 2015, The Skolem-Abouzaïd theorem in the singular case, Atti Accad. Naz. Lincei, Rend. Lincei, Mat. Appl., 26, 263, 10.4171/RLM/706 Bombieri, 1983, On Weil's “théorème de décomposition”, Am. J. Math., 105, 295, 10.2307/2374261 Chevalley, 1963, Introduction to the Theory of Algebraic Functions of One Variable, vol. VI Coates, 1970, Construction of rational functions on a curve, Proc. Camb. Philos. Soc., 68, 105, 10.1017/S0305004100001110 Cox, 2013 Davenport, 1981, On the Integration of Algebraic Functions, vol. 102 Eremenko, 1998, Rational solutions of first-order differential equations, Ann. Acad. Sci. Fenn., Math., 23, 181 Habegger, 2007 Habegger, 2017, Quasi-equivalence of heights and Runge's theorem, 257 Hess, 2002, Computing Riemann-Roch spaces in algebraic function fields and related topics, J. Symb. Comput., 33, 425, 10.1006/jsco.2001.0513 Huang, 1994, Efficient algorithms for the Riemann-Roch problem and for addition in the Jacobian of a curve, J. Symb. Comput., 18, 519, 10.1006/jsco.1994.1063 Lang, 1983 Le Gluher, 2020, A fast randomized geometric algorithm for computing Riemann-Roch spaces, Math. Comput., 89, 2399, 10.1090/mcom/3517 Néron, 1965, Quasi-fonctions et hauteurs sur les variétés abéliennes, Ann. Math., 82, 249, 10.2307/1970644 Schmidt, 1991, Construction and estimation of bases in function fields, J. Number Theory, 39, 181, 10.1016/0022-314X(91)90044-C Serre, 1997 Volcheck, 1994, Computing in the Jacobian of a plane algebraic curve, vol. 877, 221 Walker, 1950