Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series

DOI10.4171/JEMS/1040zbMath1469.14059arXiv1802.09489OpenAlexW3124613559MaRDI QIDQ2031677

Tonghai Yang, Jan Hendrik Bruinier

Publication date: 10 June 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09489

zbMATH Keywords

orthogonal groupWhittaker functionShimura varietySiegel-Weil formulaGreen currentkudla programspecial cycle

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

The Kudla-Rapoport conjecture at a ramified prime for 𝑈(1,1), On the arithmetic Siegel-Weil formula for GSpin Shimura varieties, From sum of two squares to arithmetic Siegel–Weil formulas, Green forms and the arithmetic Siegel-Weil formula, Kudla–Rapoport cycles and derivatives of local densities

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