A genus two arithmetic Siegel-Weil formula on 𝑋₀(𝑁)

DOI10.1090/tran/8843arXiv2206.05823OpenAlexW4307444641MaRDI QIDQ6046212

Siddarth Sankaran, Tonghai Yang, Unnamed Author

Publication date: 16 May 2023

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

Full work available at URL: https://arxiv.org/abs/2206.05823

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
• On the intersection of modular correspondences
• Faltings heights of CM cycles and derivatives of \(L\)-functions
• Central derivatives of Eisenstein series and height pairings
• An explicit formula for local densities of quadratic forms
• On some explicit formulas in the theory of Weil representation
• A regularized Siegel-Weil formula: The first term identity
• Arithmetic Siegel-Weil formula on \(X_{0}(N)\)
• Green forms and the arithmetic Siegel-Weil formula
• Local densities of 2-adic quadratic forms
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Generalized arithmetic intersection numbers
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• A note on local densities of quadratic forms
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Modular Forms and Special Cycles on Shimura Curves. (AM-161)
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