Computing the alternating trace of Frobenius on the sheaves of nearby cycles on local models for \(\text{GL}_{4}\) and \(\text{GL}_{5}\)

DOI10.1016/j.jalgebra.2003.07.002zbMath1107.14018OpenAlexW1977688621MaRDI QIDQ1879660

Ulrich Görtz

Publication date: 23 September 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.002

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (5)

Integral models of certain PEL Shimura varieties with \(\Gamma_1(p)\)-type level structure ⋮ Topological flatness of local models for ramified unitary groups. I: The odd dimensional case ⋮ The test function conjecture for parahoric local models ⋮ Topological flatness of orthogonal local models in the split, even case. I ⋮ Local models in the ramified case. III Unitary groups

Cites Work

• La conjecture de Weil. II
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\)
• Test functions for Shimura varieties: the Drinfeld case
• The combinatorics of Bernstein functions
• Chirurgie des grassmanniennes
• Period Spaces for "p"-divisible Groups (AM-141)
• Construction of central elements in the affine Hecke algebra via nearby cycles
• On the flatness of models of certain Shimura varieties of PEL-type
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