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Showing 1 to 6 of 6 for “"Mixed Characteristic"”.
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D-modules, V-filtrations, and B-functions in mixed characteristic
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-12-04 without embargo terms
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The syzygy theorem and the weak Lefschetz Property
… forms in a standard graded polynomial ring of characteristic zero. The main point to take away from these developments is that, via the inverse system dictionary, one is able to relate the failure of the Weak Lefschetz property to the geometry of the fat point scheme associated to the powers of …
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Modular Temperley-Lieb Theory
… related cellular algebras, over positive and mixed characteristic fields. The Temperley-Lieb algebras are planar diagrammatic algebras. They are generated by “(n, n)-diagrams”: planar pair matchings between n points. Multiplication is diagrammatic composition with closed loops resolving to …
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Co-rank 1 Arithmetic Siegel--Weil
… local contributions to heights of 1-cycles in mixed characteristic.
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On the Strong Direct Summand Conjecture
… cases of the Strong Direct Summand Conjecture in mixed characteristic using knowledge about splittings in lower dimensions. In particular, we show that the vanishing of the first Ext module allows us to lift a splitting in lower dimension and prove the Strong Direct Summand Conjecture. In Chapter …
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Weak Purity for Gorenstein Rings
… in codimension one with B an excellent local equicharacteristic Gorenstein domain of dimension at least five (under additional conditions, the mixed characteristic case is considered). In this context, a weak purity holds: if B is "regular" enough (that is, satisfies $(R\sb{k})),$ then A inherits …