Ivan Zelich

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20202026

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math.AC2024

Indivisible Sequences and Descendability

Ivan Zelich

We introduce the notion of indivisible sequences and show that to any indivisible sequence ${S, Ψ : S \to R}$ we can associate faithfully flat ring maps $R \to R^{'}$ that are not de…

math.AC2024

Faithfully flat ring maps are not descendable

Ivan Zelich

We construct a faithfully flat algebra over the infinite polynomial ring on an algebraically closed field that is not descendable.

math.AC2022

Almost Witt Vectors

Ivan Zelich

Our main goal in this paper is to prove results for Witt vectors in the almost category. We finish with an application to almost purity, in particular offering a new proof for rank…