K. Yamaguchi

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math.AT2025

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.AT2025

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.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…