The Modularity of Special Cycles on Orthogonal Shimura Varieties over Totally Real Fields under the Beilinson–Bloch Conjecture

DOI10.4153/S000843952000020XzbMath1470.11166arXiv1908.08063WikidataQ123183754 ScholiaQ123183754MaRDI QIDQ5858657

Yota Maeda

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08063

zbMATH Keywords

Shimura varietiesmodular formsalgebraic cycles

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (6)

Cones of special cycles of codimension 2 on orthogonal Shimura varieties ⋮ Modularity of special cycles on unitary Shimura varieties over CM-fields ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ Modular forms. Abstracts from the workshop held December 15--21, 2019 ⋮ Remarks on generating series for special cycles on orthogonal Shimura varieties ⋮ Some cases of Kudla’s modularity conjecture for unitary Shimura varieties

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