The homotopy type of the space of algebraic loops on a toric variety

Abstract

We investigate the homotopy type of the space of tuples of polynomials inducing base-point preserving algebraic maps from the circle S1 to a toric variety XΣ. In particular, we prove a homotopy stability result for this space by combining the Vassiliev spectral sequence and the scanning map.

arXiv admin note: text overlap with arXiv:1707.02603