Constructs tame sheaves via an algebraic tame site applied to de Rham-Witt sheaves and reciprocity sheaves, yielding a comparison of tame syntomic cohomology with the Nygaard filtration.
Foundations of rigid geometry
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2026 2verdicts
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Refines cohomology of the structure sheaf to an A¹-invariant theory with O_K-lattice values for smooth schemes over non-archimedean fields using tame cohomology and rigid analytic geometry.
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A construction of tame sheaves and tame de Rham--Witt cohomology
Constructs tame sheaves via an algebraic tame site applied to de Rham-Witt sheaves and reciprocity sheaves, yielding a comparison of tame syntomic cohomology with the Nygaard filtration.
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Birational and $\mathbf{A}^1$-invariant lattices in the cohomology of the structure sheaf over non-archimedean fields
Refines cohomology of the structure sheaf to an A¹-invariant theory with O_K-lattice values for smooth schemes over non-archimedean fields using tame cohomology and rigid analytic geometry.