Tat-Thang Nguyen

activity

20222026

collaborators

3 papers

math.AT2026

Homogeneous Milnor fibers and Kato--Matsumoto bounds via simplicial multiwedges

Masaharu Ishikawa, Tat-Thang Nguyen

For every $n \geq 3$ and $s \geq 2$ , we construct a homogeneous polynomial of degree $n (n + 1) /2$ whose Milnor fiber is exactly $2 s$ -connected and whose rational cohomology contains a…

math.GT2024

Atypical values at infinity of real polynomial maps with $2$ -dimensional fibers

Masaharu Ishikawa, Tat-Thang Nguyen

We characterize atypical values at infinity of a real polynomial function of three variables by a certain sum of indices of the gradient vector field of the function restricted to…

math.GT2022

Relative homotopy groups and Serre fibrations for polynomial maps

Masaharu Ishikawa, Tat Thang Nguyen

Let $f$ be a polynomial map from $R^{m}$ to $R^{n}$ with $m > n > 0$ and $t_{0}$ be a regular value of $f$ . For a small open ball $D_{t_{0}}$ centered at $t_{0}$ , we show that th…

Homogeneous Milnor fibers and Kato--Matsumoto bounds via simplicial multiwedges

Atypical values at infinity of real polynomial maps with 2-dimensional fibers

Relative homotopy groups and Serre fibrations for polynomial maps

Atypical values at infinity of real polynomial maps with $2$ -dimensional fibers