On the interior motive of certain Shimura varieties: the case of Picard surfaces

DOI10.1007/s00229-015-0747-5zbMath1349.14106arXiv1411.5930OpenAlexW3106485983MaRDI QIDQ889632

Jörg Wildeshaus

Publication date: 9 November 2015

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5930

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Classical real and complex (co)homology in algebraic geometry (14F25) Modular and Shimura varieties (14G35) Algebraic cycles (14C25) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Modular correspondences, etc. (11F32) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (12)

Intermediate extension of Chow motives of abelian type ⋮ Three real Artin-Tate motives ⋮ On the Voevodsky motive of the moduli space of Higgs bundles on a curve ⋮ Motives of moduli spaces of bundles on curves via variation of stability and flips ⋮ Polylogarithm for families of commutative group schemes ⋮ On weight complexes, pure functors, and detecting weights ⋮ Numerical functors on Voevodsky's motives ⋮ \(\mathbb A^1\)-equivalence of zero cycles on surfaces. II ⋮ On the intersection motive of certain Shimura varieties: the case of Siegel threefolds ⋮ On the boundary and intersection motives of genus 2 Hilbert-Siegel varieties ⋮ On the motive of O’Grady’s ten-dimensional hyper-Kähler varieties ⋮ Degeneration of Hodge structures over Picard modular surfaces

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