K. Yamaguchi

activity

19982024

most citedSpaces of equivariant algebraic maps from real projective spaces into complex projective spaces

2 citations · 7 across the 14 of their papers we have counts for

collaborators

15 papers

math.AT2024

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

Andrzej Kozlowski, Kohhei Yamaguchi

For any field $F$ and positive integers $m, n, d$ with $(m, n) \neq = (1, 1)$ , Farb and Wolfson defined the certain affine varieties $Poly_{n}^{d, m} (F)$ as generalizations…

math.AT2023

Homotopy stability for spaces of triples of real polynomials without common roots

Andrzej Kozlowski, Kohhei Yamaguchi

We continue our study of the topology of the spaces of $m$ tuples of real polynomials with common degree $d$ and without common roots of multiplicity $n$ , and in particular their s…

math.AT2022

Spaces of non-resultant systems of bounded multiplicity with real coefficients

Andrzej Kozlowski, Kohhei Yamaguchi

For each pair $(m, n)$ of positive integers with $(m, n) \neq = (1, 1)$ and an arbitrary field $F$ with algebraic closure $F$ , let $P o_{n}^{d, m} (F)$ denote the…

math.AT2021

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…

math.AT2020

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…

math.AT2018★ 1 cited

The homotopy type of spaces of real resultants with bounded multiplicity

Andrzej Kozlowski, Kohhei Yamaguchi

For positive integers $d, m, n \geq 1$ with $(m, n) \neq = (1, 1)$ and $K = R$ or $C$ , let $Q_{n}^{d, m} (K)$ denote the space of $m$ -tuples $(f_1(z),\cdots ,f_m(z))\in \B…