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Conjectures on the fundamental domain of the Hilbert modular group

✍ Scribed by Jesse Ira Deutsch

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
802 KB
Volume
59
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES

Equidistribution of Hecke eigenforms on
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✍ Sheng-Chi Liu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 132 KB

Let F be a totally real number field with ring of integers O, and let Ξ“ = SL(2, O) be the Hilbert modular group. Given the orthonormal basis of Hecke eigenforms in S 2k (Ξ“ ), one can associate a probability measure dΞΌ k on the Hilbert modular variety Ξ“ \H n . We prove that dΞΌ k tends to the invarian

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## Abstract We will show the Hodge conjecture and the Tate conjecture are true for the Hilbert schemes of points on an abelian surface or on a Kummer surface. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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On the group of modular units and the ideal class group
✍ Tsuyoshi Itoh; Keiichi Komatsu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 161 KB

J.-M. Kim, S. Bae and I.-S. Lee showed that there exists an isomorphism between the p-primary part of the ideal class group and p-primary part of the unit group modulo cyclotomic unit group in Q(ΞΆ p n ) + for all sufficiently large n under some conditions. In the present paper, we shall give an anal