Mumford-Tate groups of polarizable Hodge structures

DOI10.1090/proc/13040zbMath1344.14009arXiv1302.1803OpenAlexW1565620638WikidataQ57482763 ScholiaQ57482763MaRDI QIDQ2814395

Stefan Patrikis

Publication date: 22 June 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1803

zbMATH Keywords

reductive algebraic groupsMumford-Tate groupspolarizable Hodge structures

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (6)

Variations of Hodge structure and orbits in flag varieties ⋮ Algebraic and Arithmetic Properties of Period Maps ⋮ On automorphy of certain Galois representations of \(\mathrm{GO}_{4}\)-type ⋮ Potential automorphy and change of weight ⋮ Quasi-constant characters: motivation, classification and applications ⋮ Classification of Kuga fiber varieties

Cites Work

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• Generalized Kuga-Satake theory and rigid local systems. II: Rigid Hecke eigensheaves
• La conjecture de Weil pour les surfaces K3
• Mumford-Tate Groups and Domains
• Shimura Varieties and Moduli
• Generalized Kuga-Satake theory and rigid local systems, I: the middle convolution
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• Hodge groups of K3 surfaces.
• Serre–Tate theory for moduli spaces of PEL type
• Lie groups beyond an introduction

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