Fei Ren

activity

20212025

collaborators

5 papers

math.CT2025

Structure theorems for the heart of LCA

Oliver Braunling, Fei Ren

Cohomology theories with values in LCA (locally compact abelian) groups suffer from the problem that the latter do not form an abelian category. However, the category LCA has a can…

math.AG2025

Coherent six-functor formalisms: Pro vs Solid

Fei Ren

In the classical theory for coherent sheaves, the only missing piece in the Grothendieck six-functor formalism picture is $j_{!}$ for an open immersion $j$ . Towards fixing this gap,…

math.AG2025

Structure theorem for log de Rham-Witt sheaves with vanishing

Fei Ren

We prove an elegant structure theorem for log de Rham-Witt sheaves with vanishing along an effective Cartier divisor $D$ defined in arXiv:2403.18763, answering a question of Shuji…

math.AG2024

Additive cycle complex and coherent duality

Fei Ren

Let $k$ be a field of positive characteristic $p$ , and $X$ be a separated of finite type $k$ -scheme of dimension $d$ . We construct a cycle map from the additive cycle complex to th…

math.AG2021

Bloch's cycle complex and coherent dualizing complexes in positive characteristic

Fei Ren

Let $X$ be a separated scheme of dimension $d$ of finite type over a perfect field $k$ of positive characteristic $p$ . In this work, we show that Bloch's cycle complex $\mathbb{Z}^…