5 papers · 1 filter
Spaces of non-resultant systems of bounded multiplicity determined by a toric variety
Andrzej Kozłowski, Kohhei Yamaguchi
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 we proved a homotopy…
The homotopy type of the space of algebraic loops on a toric variety
Andrzej Kozlowski, Kohhei Yamaguchi
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 pro…
The homotopy type of spaces of real resultants with bounded multiplicity
Andrzej Kozlowski, Kohhei Yamaguchi
For positive integers with and or , let denote the space of -tuples $(f_1(z),\cdots ,f_m(z))\in \B…
The homotopy type of spaces of rational curves on a toric variety
Andrzej Kozlowski, Kohhei Yamaguchi
Spaces of holomorphic maps from the Riemann sphere to various complex manifolds (holomorphic curves ) have played an important role in several area of mathematics. In a seminal pap…
Spaces of polynomials with roots of bounded multiplicity
M. A. Guest, A. Kozlowski, K. Yamaguchi
We describe an alternative approach to some results of Vassiliev on spaces of polynomials, by using the scanning method which was used by Segal in his investigation of spaces of ra…