Spaces of non-resultant systems of bounded multiplicity determined by a toric variety

摘要

? 2023 Elsevier B.V.The space of non-resultant systems of bounded multiplicity for a toric variety X is a generalization of the space of rational curves on it. In our earlier work 24 we determined explicitly the homotopy type of this space for the case X=CPm. In this paper we consider this space for general non-singular toric varieties and prove that the homotopy stability holds for them.