2-adic slopes of Hilbert modular forms over Q(5)

Christopher Birkbeck

doi:10.1112/blms.12361

2-adic slopes of Hilbert modular forms over Q(5)

Christopher Birkbeck

Research output: Contribution to journal › Article › peer-review

12 Downloads (Pure)

Abstract

We show that for arithmetic weights with a fixed finite-order character, the slopes of (Formula presented.) for (Formula presented.) (which is inert) acting on overconvergent Hilbert modular forms of level (Formula presented.) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.

Original language	English
Pages (from-to)	716-729
Number of pages	14
Journal	Bulletin of the London Mathematical Society
Volume	52
Issue number	4
Early online date	21 Jun 2020
DOIs	https://doi.org/10.1112/blms.12361
Publication status	Published - Aug 2020

Keywords

11F33
11F41 (primary)

Access to Document

10.1112/blms.12361Licence: CC BY

Birkbeck_2020_BulletinLondonMathSocFinal published version, 224 KBLicence: CC BY

Cite this

@article{fb566b9e85364320baf99766f5f387cb,

title = "2-adic slopes of Hilbert modular forms over Q(5)",

abstract = "We show that for arithmetic weights with a fixed finite-order character, the slopes of (Formula presented.) for (Formula presented.) (which is inert) acting on overconvergent Hilbert modular forms of level (Formula presented.) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.",

keywords = "11F33, 11F41 (primary)",

author = "Christopher Birkbeck",

note = "Funding Information: The work was supported by the EPSRC Doctoral Prize Fellowship at University College London, [EP/N509577/1]. ",

year = "2020",

month = aug,

doi = "10.1112/blms.12361",

language = "English",

volume = "52",

pages = "716--729",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

publisher = "Wiley",

number = "4",

}

TY - JOUR

T1 - 2-adic slopes of Hilbert modular forms over Q(5)

AU - Birkbeck, Christopher

N1 - Funding Information: The work was supported by the EPSRC Doctoral Prize Fellowship at University College London, [EP/N509577/1].

PY - 2020/8

Y1 - 2020/8

N2 - We show that for arithmetic weights with a fixed finite-order character, the slopes of (Formula presented.) for (Formula presented.) (which is inert) acting on overconvergent Hilbert modular forms of level (Formula presented.) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.

AB - We show that for arithmetic weights with a fixed finite-order character, the slopes of (Formula presented.) for (Formula presented.) (which is inert) acting on overconvergent Hilbert modular forms of level (Formula presented.) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.

KW - 11F33

KW - 11F41 (primary)

UR - http://www.scopus.com/inward/record.url?scp=85087145179&partnerID=8YFLogxK

U2 - 10.1112/blms.12361

DO - 10.1112/blms.12361

M3 - Article

AN - SCOPUS:85087145179

VL - 52

SP - 716

EP - 729

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 4

ER -

2-adic slopes of Hilbert modular forms over Q(5)

Abstract

Keywords

Access to Document

Other files and links

Cite this