def section(self): r""" Return the inverse map of this isomorphism. EXAMPLES:: sage: K = QQ['x'].fraction_field() sage: L = K.function_field() sage: f = K.coerce_map_from(L) sage: f.section() Isomorphism: From: Fraction Field of Univariate Polynomial Ring in x over Rational Field To: Rational function field in x over Rational Field """ from sage.categories.all import Hom parent = Hom(self.codomain(), self.domain()) return parent.__make_element_class__(FractionFieldToFunctionField)(parent.domain(), parent.codomain())