Mathematics – Algebraic Geometry
Scientist
Mathematics
Algebraic Geometry
Scientist
A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems
A problem with Artin's Vanishing for torsion motivic homology
Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky vs. Hanamura
Explicit generators for (conjectural) mixed motives (in Voevodsky's $\dmge$). The Kunneth decomposition of pure (numerical) motives
Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of Abelian varieties
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