The regularity of difference divisors

Baiqing Zhu

doi:10.1007/s00208-024-02950-5

The regularity of difference divisors

Baiqing Zhu

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

Abstract

For a prime number p>2 and a finite extension F/Qp, we explain the construction of the difference divisors on the unitary Rapoport–Zink spaces of hyperspecial level over OF˘, and the GSpin Rapoport–Zink spaces of hyperspecial level over Z˘p associated to a minuscule cocharacter μ and a basic element b. We prove the regularity of the difference divisors, find the formally smooth locus of both the special cycles and the difference divisors, by a purely deformation-theoretic approach.

Original language	English (US)
Article number	e8
Pages (from-to)	1433-1466
Number of pages	34
Journal	Mathematische Annalen
Volume	391
Issue number	1
DOIs	https://doi.org/10.1007/s00208-024-02950-5
State	Published - Jan 2025
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s00208-024-02950-5

Cite this

@article{7fb7c64e0891490b9656f13dd64df5f8,

title = "The regularity of difference divisors",

abstract = "For a prime number p>2 and a finite extension F/Qp, we explain the construction of the difference divisors on the unitary Rapoport–Zink spaces of hyperspecial level over OF˘, and the GSpin Rapoport–Zink spaces of hyperspecial level over Z˘p associated to a minuscule cocharacter μ and a basic element b. We prove the regularity of the difference divisors, find the formally smooth locus of both the special cycles and the difference divisors, by a purely deformation-theoretic approach.",

author = "Baiqing Zhu",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.",

year = "2025",

month = jan,

doi = "10.1007/s00208-024-02950-5",

language = "English (US)",

volume = "391",

pages = "1433--1466",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - The regularity of difference divisors

AU - Zhu, Baiqing

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

PY - 2025/1

Y1 - 2025/1

N2 - For a prime number p>2 and a finite extension F/Qp, we explain the construction of the difference divisors on the unitary Rapoport–Zink spaces of hyperspecial level over OF˘, and the GSpin Rapoport–Zink spaces of hyperspecial level over Z˘p associated to a minuscule cocharacter μ and a basic element b. We prove the regularity of the difference divisors, find the formally smooth locus of both the special cycles and the difference divisors, by a purely deformation-theoretic approach.

AB - For a prime number p>2 and a finite extension F/Qp, we explain the construction of the difference divisors on the unitary Rapoport–Zink spaces of hyperspecial level over OF˘, and the GSpin Rapoport–Zink spaces of hyperspecial level over Z˘p associated to a minuscule cocharacter μ and a basic element b. We prove the regularity of the difference divisors, find the formally smooth locus of both the special cycles and the difference divisors, by a purely deformation-theoretic approach.

UR - https://www.scopus.com/pages/publications/85200030590

UR - https://www.scopus.com/pages/publications/85200030590#tab=citedBy

U2 - 10.1007/s00208-024-02950-5

DO - 10.1007/s00208-024-02950-5

M3 - Article

AN - SCOPUS:85200030590

SN - 0025-5831

VL - 391

SP - 1433

EP - 1466

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1

M1 - e8

ER -

The regularity of difference divisors

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this