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math.KT2026
Finite-coefficient K-theory of henselian valued fields and Gersten injectivity
Niels Feld
Let be a henselian valuation ring with fraction field , residue field , and value group . Let be invertible in . Choose an ordered -basis…
math.KT2026
Finite-coefficient Gersten injectivity fails in ramified mixed characteristic
Niels Feld
Let be a complete discrete valuation ring of mixed characteristic in which is a uniformizer, and put . We construct a nonzero class $a\in K_…
math.AG2026
Homotopy coherent Gysin functoriality
Frédéric Déglise, Niels Feld, Fangzhou Jin
We construct homotopy coherent Gysin pullbacks for weak Borel-Moore theories on smooth schemes, addressing the higher coherence problem for Gysin morphisms associated with closed i…