Hilbert modular forms with coefficients in intersection homology and quadratic base change

DOI10.1007/978-3-0348-0351-9zbMath1285.11073OpenAlexW427892568MaRDI QIDQ660357

Juan-Miguel Gracia

Publication date: 1 February 2012

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.math.ias.edu/~goresky/pdf/Master.pdf

zbMATH Keywords

modular formsFourier coefficientsHecke operatorsbase changeautomorphic vector bundlesHilbert modular varieties of arbitrary dimensionintersection homology theorymodular cycles

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Representations of Lie and linear algebraic groups over local fields (22E50) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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Test vectors and central \(L\)-values for \(\mathrm{GL}(2)\) ⋮ ALGEBRAIC CYCLES AND TATE CLASSES ON HILBERT MODULAR VARIETIES ⋮ Local cohomology and stratification

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