Integral models in unramified mixed characteristic (0, 2) of hermitian orthogonal Shimura varieties of PEL type, Part I

Adrian Vasiu

Integral models in unramified mixed characteristic (0, 2) of hermitian orthogonal Shimura varieties of PEL type, Part I

Adrian Vasiu

Mathematics and Statistics

Binghamton University

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

3 Scopus citations

Abstract

Let (G,χ) be a Shimura variety of PEL type such that G_Q₂ is a split GSO_2n group with n ≥ 2. We prove the existence of the integral canonical models of Sh(G,χ)/H₂ in unramified mixed characteristic (0, 2), where H₂ is a hyperspecial subgroup of G(Q₂).

Original language	English
Pages (from-to)	425-477
Number of pages	53
Journal	Journal of the Ramanujan Mathematical Society
Volume	27
Issue number	4
State	Published - Dec 2012

Cite this

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title = "Integral models in unramified mixed characteristic (0, 2) of hermitian orthogonal Shimura varieties of PEL type, Part I",

abstract = "Let (G,χ) be a Shimura variety of PEL type such that GQ2 is a split GSO2n group with n ≥ 2. We prove the existence of the integral canonical models of Sh(G,χ)/H2 in unramified mixed characteristic (0, 2), where H2 is a hyperspecial subgroup of G(Q2).",

author = "Adrian Vasiu",

year = "2012",

month = dec,

language = "English",

volume = "27",

pages = "425--477",

journal = "Journal of the Ramanujan Mathematical Society",

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T1 - Integral models in unramified mixed characteristic (0, 2) of hermitian orthogonal Shimura varieties of PEL type, Part I

AU - Vasiu, Adrian

PY - 2012/12

Y1 - 2012/12

N2 - Let (G,χ) be a Shimura variety of PEL type such that GQ2 is a split GSO2n group with n ≥ 2. We prove the existence of the integral canonical models of Sh(G,χ)/H2 in unramified mixed characteristic (0, 2), where H2 is a hyperspecial subgroup of G(Q2).

AB - Let (G,χ) be a Shimura variety of PEL type such that GQ2 is a split GSO2n group with n ≥ 2. We prove the existence of the integral canonical models of Sh(G,χ)/H2 in unramified mixed characteristic (0, 2), where H2 is a hyperspecial subgroup of G(Q2).

UR - https://www.scopus.com/pages/publications/84975786650

M3 - Article

SN - 0970-1249

VL - 27

SP - 425

EP - 477

JO - Journal of the Ramanujan Mathematical Society

JF - Journal of the Ramanujan Mathematical Society

IS - 4

ER -

Integral models in unramified mixed characteristic (0, 2) of hermitian orthogonal Shimura varieties of PEL type, Part I

Abstract

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