Yuri Shimizu

activity

20182020

collaborators

3 papers

math.AG2020

Universal birational invariants and $A^{1}$ -homology

Yuri Shimizu

Let $k$ be a field admitting a resolution of singularities. In this paper, we prove that the functor of zeroth $A^{1}$ -homology $H_{0}^{A^{1}}$ is universal as…

math.AG2019

Relative $A^{1}$ -homology and its applications

Yuri Shimizu

In this paper, we prove an $A^{1}$ -homology version of the Whitehead theorem with dimension bound. We also prove an excision theorem for $A^{1}$ -homology, Suslin homo…

math.AG2018

Notes on A^1-contractibility and A^1-excision

Yuri Shimizu

We prove that a smooth scheme of dimension $n$ over a perfect field is A^1-weakly equivalent to a point if it is A^1-n-connected. We also prove an excision result for A^1-homotopy…

Universal birational invariants and A1-homology

Relative A1-homology and its applications

Notes on A^1-contractibility and A^1-excision

Universal birational invariants and $A^{1}$ -homology

Relative $A^{1}$ -homology and its applications