Intersections of higher-weight cycles over quaternionic modular surfaces and modular forms of Nebentypus

DOI10.1090/S0273-0979-1986-15446-7zbMath0593.14003MaRDI QIDQ3722611

B. Brent Gordon

Publication date: 1986

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

zbMATH Keywords

elliptic modular formHirzebruch-Zagier cyclehigher weight cyclesintersection multiplicities of cyclesmodular forms of Nebentypusquaternionic modular surface

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

Unnamed Item ⋮ Construction of Cohomology of Discrete Groups

Cites Work

• The theory of Jacobi forms
• The theta correspondence and harmonic forms. I
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
• Duality and intersection theory in complex manifolds. I
• Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms
• Algebraically defined subspaces in the cohomology of a Kuga fiber variety
• On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes
• Compact Clifford-Klein forms of symmetric spaces
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
• Clifford Algebras and Families of Abelian Varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Intersections of higher-weight cycles over quaternionic modular surfaces and modular forms of Nebentypus