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math.NT2026
From Common-Slot Chains to Heisenberg Central Products over Global Fields
Marina Palaisti
Let be a global field and let be an odd prime with . Assuming first that , we record in a uniform global-field form the length-four…
math.NT2026
Asymptotic Universal Koszulity in Galois Cohomology
Marina Palaisti
We introduce the notion of asymptotic universal Koszulity for graded-commutative algebras generated in degree~, capturing the idea that an infinite-dimensional algebra can be ap…
math.NT2026
Fibre-Product Stability, Kummer Gluing, and Composita for Universal Koszulity
Marina Palaisti
We study universal Koszulity under algebraic gluing and field composita. For quadratic fibre products, orthogonally split pullbacks reduce to direct sums, while Stanley--Reisner pu…