Lectures on Hilbert Modular Varieties and Modular Forms

By Eyal Z. Goren. 2001

142 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2096f3d5df9e4977b271c045b5eadd4abb121394

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Tonghai Yang
2. Jose Ignacio Burgos Gil
3. U. Kuehn
4. Benjamin Howard
5. Jan H. Bruinier
6. John Voight
7. Lassina Dembélé
8. Ken Ichi Ono

In Geometry and Topology

1. Jose Ignacio Burgos Gil
2. Tonghai Yang
3. Jan H. Bruinier
4. Lassina Dembélé
5. U. Kuehn
6. Benjamin Howard
7. John Voight
8. Ken Ichi Ono

In Mathematical Physics

1. Jose Ignacio Burgos Gil
2. Tonghai Yang
3. U. Kuehn
4. Jan H. Bruinier
5. Lassina Dembélé
6. Benjamin Howard
7. John Voight
8. Ken Ichi Ono

Citations in the corpus

• Iwasawa theory of Heegner points on abelian varieties of GL2 type (2004, background): “2 of [7] that the ordinary hypothesis implies that ap ∈ O × P.”
• Explicit Methods for Hilbert Modular Forms (2010, background): “References for Hilbert modular forms include Freitag [25], van der Geer [26] and Goren [29].”
• Borcherds products and arithmetic intersection theory on Hilbert modular surfaces (2003, methodology): “3, then H(N) is a scheme.52 Jan H. Bruinier, Jose I. Burgos Gil, and Ulf Ku¨hn It is well known that Γ(a)\H2 can be identified with Had−1(1)(C). The isomorphism can be described as follows. (See e. g. [Go] Chapter II.2 for a detailed discussion.) To z= (z1,z2) ∈ H2 we associate the lattice Λz = OKz+a”
• CM-values of Hilbert modular functions (2006, methodology): “We first recall some facts on modular varieties and refer to [Ge] and [ Go ] for details.”