Compactifications of splitting models of pel-type shimura varieties

Kai Wen Lan

doi:10.1090/tran/7088

Compactifications of splitting models of pel-type shimura varieties

Kai Wen Lan

Mathematics

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

1 Scopus citations

Abstract

We construct toroidal and minimal compactifications, with expected properties concerning stratifications and formal local structures, for all integral models of PEL-type Shimura varieties defined by taking normalizations over the splitting models considered by Pappas and Rapoport. (These include, in particular, all the normal flat splitting models they considered.)

Original language	English (US)
Pages (from-to)	2463-2515
Number of pages	53
Journal	Transactions of the American Mathematical Society
Volume	370
Issue number	4
DOIs	https://doi.org/10.1090/tran/7088
State	Published - Apr 2018

Bibliographical note

Funding Information:
Received by the editors August 6, 2015, and, in revised form, July 14, 2016. 2010 Mathematics Subject Classification. Primary 11G18; Secondary 11G15, 14D06. Key words and phrases. PEL-type Shimura varieties, degenerations and compactifications, integral models, local models and splitting models. The author was partially supported by the National Science Foundation under agreement No. DMS-1352216, and by an Alfred P. Sloan Research Fellowship.

Publisher Copyright:
© 2017 American Mathematical Society.

Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

Keywords

Degenerations and compactifications
Integral models
Local models and splitting models
PEL-type Shimura varieties

Access

10.1090/tran/7088

Fingerprint Dive into the research topics of 'Compactifications of splitting models of pel-type shimura varieties'. Together they form a unique fingerprint.

Cite this

@article{6de106de33b9455b9e569a2fb277ad2b,

title = "Compactifications of splitting models of pel-type shimura varieties",

abstract = "We construct toroidal and minimal compactifications, with expected properties concerning stratifications and formal local structures, for all integral models of PEL-type Shimura varieties defined by taking normalizations over the splitting models considered by Pappas and Rapoport. (These include, in particular, all the normal flat splitting models they considered.)",

keywords = "Degenerations and compactifications, Integral models, Local models and splitting models, PEL-type Shimura varieties",

author = "Lan, {Kai Wen}",

note = "Funding Information: Received by the editors August 6, 2015, and, in revised form, July 14, 2016. 2010 Mathematics Subject Classification. Primary 11G18; Secondary 11G15, 14D06. Key words and phrases. PEL-type Shimura varieties, degenerations and compactifications, integral models, local models and splitting models. The author was partially supported by the National Science Foundation under agreement No. DMS-1352216, and by an Alfred P. Sloan Research Fellowship. Publisher Copyright: {\textcopyright} 2017 American Mathematical Society. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",

year = "2018",

month = apr,

doi = "10.1090/tran/7088",

language = "English (US)",

volume = "370",

pages = "2463--2515",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Compactifications of splitting models of pel-type shimura varieties

AU - Lan, Kai Wen

N1 - Funding Information: Received by the editors August 6, 2015, and, in revised form, July 14, 2016. 2010 Mathematics Subject Classification. Primary 11G18; Secondary 11G15, 14D06. Key words and phrases. PEL-type Shimura varieties, degenerations and compactifications, integral models, local models and splitting models. The author was partially supported by the National Science Foundation under agreement No. DMS-1352216, and by an Alfred P. Sloan Research Fellowship. Publisher Copyright: © 2017 American Mathematical Society. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2018/4

Y1 - 2018/4

N2 - We construct toroidal and minimal compactifications, with expected properties concerning stratifications and formal local structures, for all integral models of PEL-type Shimura varieties defined by taking normalizations over the splitting models considered by Pappas and Rapoport. (These include, in particular, all the normal flat splitting models they considered.)

AB - We construct toroidal and minimal compactifications, with expected properties concerning stratifications and formal local structures, for all integral models of PEL-type Shimura varieties defined by taking normalizations over the splitting models considered by Pappas and Rapoport. (These include, in particular, all the normal flat splitting models they considered.)

KW - Degenerations and compactifications

KW - Integral models

KW - Local models and splitting models

KW - PEL-type Shimura varieties

UR - http://www.scopus.com/inward/record.url?scp=85040822371&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040822371&partnerID=8YFLogxK

U2 - 10.1090/tran/7088

DO - 10.1090/tran/7088

M3 - Article

AN - SCOPUS:85040822371

VL - 370

SP - 2463

EP - 2515

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 4

ER -

Compactifications of splitting models of pel-type shimura varieties

Abstract

Bibliographical note

Keywords

Access

Other files and links

Cite this