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20182026
most citedRamification theory of reciprocity sheaves, I, Zariski-Nagata purity

1 citations · 2 across the 6 of their papers we have counts for

collaborators

9 papers

math.AG2026

Cartier crystals and dual-constructible -torsion complexes

Jefferson Baudin, Kay Rülling

We show that given a Noetherian and -finite scheme, the fixed point functor on Cartier crystals is fully faithful to the category of sheaves on the flat and relatively perfect s…

math.AG2022

Lectures on the cohomology of reciprocity sheaves

Nikolai Opdan, Kay Rülling

These are the notes accompanying three lectures given by the second author at the Motivic Geometry program at CAS, which aim to give an introduction and an overview of some recent…

math.AG2021

Ramification theory of reciprocity sheaves, II, Higher local symbols

Kay Rülling, Shuji Saito

We construct a theory of higher local symbols along Parsin chains for reciprocity sheaves. Applying this formalism to differential forms, gives a new construction of the Parsin-Lom…

math.AG2021★ 1 cited

Ramification theory of reciprocity sheaves, I, Zariski-Nagata purity

Kay Rülling, Shuji Saito

We prove a Zariski-Nagata purity theorem for the motivic ramification filtration of a reciprocity sheaf. An important tool in the proof is a generalization of the Kato-Saito recipr…

math.AG2021★ 1 cited

Cycle class maps for Chow groups of zero-cycles with modulus

Kay Rülling, Shuji Saito

For a quasi-projective smooth scheme X of pure dimension d over a field k and an effective Cartier divisor D on X whose support is a simple normal crossing divisor, we construct a…

math.AG2021

Loops on schemes and the algebraic fundamental group

Kay Rülling, Stefan Schröer

In this note we give a re-interpretation of the algebraic fundamental group for proper schemes that is rather close to the original definition of the fundamental group for topologi…