3 papers
math.AG2026
The Miracle of Flatness in Algebraic Geometry
Ivan Zelich
This thesis studies various aspects of flatness in algebraic geometry. We first study flatness in the context of semi-rings. We prove some discreteness results for a derived groupi…
math.AG2026
Affineness of the maximal étale locus
Ivan Zelich
In this paper we will prove a strong version of the celebrated purity of the ramification locus theorem in algebraic geometry. Our key input is a Tor-independence result for global…
math.AC2024
Indivisible Sequences and Descendability
Ivan Zelich
We introduce the notion of indivisible sequences and show that to any indivisible sequence we can associate faithfully flat ring maps that are not d…