Dual BGG complexes for automorphic bundles

Kai Wen Lan; Patrick Polo

doi:10.4310/MRL.2018.v25.n1.a5

Dual BGG complexes for automorphic bundles

Kai Wen Lan, Patrick Polo

School of Mathematics

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

4 Scopus citations

Abstract

We generalize the construction of dual BGG complexes in Faltings{ Chai and Mokrane{Tilouine{Polo (from the case of Siegel modular varieties) to all smooth integral models of PEL-type Shimura varieties.

Original language	English (US)
Pages (from-to)	85-141
Number of pages	57
Journal	Mathematical Research Letters
Volume	25
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2018.v25.n1.a5
State	Published - 2018

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© Copyright by International Press of Boston, Inc. All rights reserved.

Keywords

Automorphic bundles and differential operators
BGG and dual BGG complexes
Shimura varieties

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10.4310/MRL.2018.v25.n1.a5

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title = "Dual BGG complexes for automorphic bundles",

abstract = "We generalize the construction of dual BGG complexes in Faltings\{ Chai and Mokrane\{Tilouine\{Polo (from the case of Siegel modular varieties) to all smooth integral models of PEL-type Shimura varieties.",

keywords = "Automorphic bundles and differential operators, BGG and dual BGG complexes, Shimura varieties",

author = "Lan, \{Kai Wen\} and Patrick Polo",

year = "2018",

doi = "10.4310/MRL.2018.v25.n1.a5",

language = "English (US)",

volume = "25",

pages = "85--141",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press, Inc.",

number = "1",

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TY - JOUR

T1 - Dual BGG complexes for automorphic bundles

AU - Lan, Kai Wen

AU - Polo, Patrick

PY - 2018

Y1 - 2018

N2 - We generalize the construction of dual BGG complexes in Faltings{ Chai and Mokrane{Tilouine{Polo (from the case of Siegel modular varieties) to all smooth integral models of PEL-type Shimura varieties.

AB - We generalize the construction of dual BGG complexes in Faltings{ Chai and Mokrane{Tilouine{Polo (from the case of Siegel modular varieties) to all smooth integral models of PEL-type Shimura varieties.

KW - Automorphic bundles and differential operators

KW - BGG and dual BGG complexes

KW - Shimura varieties

UR - https://www.scopus.com/pages/publications/85048123159

UR - https://www.scopus.com/inward/citedby.url?scp=85048123159&partnerID=8YFLogxK

U2 - 10.4310/MRL.2018.v25.n1.a5

DO - 10.4310/MRL.2018.v25.n1.a5

M3 - Article

AN - SCOPUS:85048123159

SN - 1073-2780

VL - 25

SP - 85

EP - 141

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 1

ER -

Dual BGG complexes for automorphic bundles

Abstract

Bibliographical note

Keywords

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