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math.AG2026
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 for an open immersion . 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 defined in arXiv:2403.18763, answering a question of Shuji…
math.AG2024
Additive cycle complex and coherent duality
Fei Ren
Let be a field of positive characteristic , and be a separated of finite type -scheme of dimension . We construct a cycle map from the additive cycle complex to th…