sentence1: the conclusion is that , roughly speaking , the space of all possible fractional linearisations of a given g-action on x is divided into finitely many polyhedral chambers within which the git quotient is constant .
sentence2: the conclusion is that , roughly speaking , the space of all possible ample fractional linearisations of a given g-action on a projective variety x is divided into finitely many polyhedral chambers within which the git quotient is constant .