Arakelov theory on Shimura varieties
From MaRDI portal
Publication:2019726
DOI10.1007/978-3-030-57559-5_11zbMath1458.14031OpenAlexW3134125409MaRDI QIDQ2019726
Publication date: 22 April 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-57559-5_11
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Heegner divisors, \(L\)-functions and harmonic weak Maass forms
- Characteristic classes for algebraic vector bundles with Hermitian metric. II
- Arithmetic characteristic classes of automorphic vector bundles
- Faltings heights of CM cycles and derivatives of \(L\)-functions
- Arithmetic intersection theory
- Hirzebruch's proportionality theorem in the non-compact case
- Subgroup growth.
- An arithmetic Riemann-Roch theorem
- Heights of Kudla-Rapoport divisors and derivatives of \(L\)-functions
- Compactification of arithmetic quotients of bounded symmetric domains
- Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
- Generalized arithmetic intersection numbers
- COHOMOLOGICAL ARITHMETIC CHOW RINGS
- Complex multiplication cycles and Kudla-Rapoport divisors, II
- Modular Forms and Special Cycles on Shimura Curves. (AM-161)
- A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof