Motivic zeta functions of Abelian varieties, and the monodromy conjecture
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Publication:531813
DOI10.1016/j.aim.2011.02.011zbMath1230.11076arXiv0902.3755OpenAlexW1966831580WikidataQ123148772 ScholiaQ123148772MaRDI QIDQ531813
Johannes Nicaise, Lars Halvard Halle
Publication date: 20 April 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.3755
Abelian varieties of dimension (> 1) (11G10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Rigid analytic geometry (14G22)
Related Items (17)
Computing motivic zeta functions on log smooth models ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ Motivic integral of \(K3\) surfaces over a non-Archimedean field ⋮ THE KUGA–SATAKE CONSTRUCTION UNDER DEGENERATION ⋮ What is the Monodromy Property for Degenerations of Calabi-Yau Varieties? ⋮ Motivic invariants of algebraic tori ⋮ The global monodromy property for \(K3\) surfaces allowing a triple-point-free model ⋮ The log-canonical threshold of a plane curve ⋮ The Néron component series of an abelian variety ⋮ Equivariant motivic integration on formal schemes and the motivic zeta function ⋮ Splitting properties of the reduction of semi-abelian varieties ⋮ Grothendieck's pairing on Néron component groups: Galois descent from the semistable case ⋮ Jet schemes of quasi-homogeneous hypersurfaces and motivic monodromy conjecture for isolated quasi-homogeneous hypersurface singularities ⋮ Log canonical thresholds of quasi-ordinary hypersurface singularities ⋮ Computing zeta functions on log smooth models ⋮ Special values of \(L\)-functions of one-motives over function fields ⋮ A logarithmic interpretation of Edixhoven's jumps for Jacobians
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