Maximal orders in unramified central simple algebras

Benjamin Antieau; Kenneth Chan

doi:10.1016/j.jalgebra.2015.12.006

Maximal orders in unramified central simple algebras

Benjamin Antieau, Kenneth Chan^*

^*Corresponding author for this work

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

1 Scopus citations

Abstract

Using depth of coherent sheaves on noetherian algebraic stacks, we construct non-Azumaya maximal orders in unramified central simple algebras over schemes of dimension at least 3.

Original language	English (US)
Pages (from-to)	94-105
Number of pages	12
Journal	Journal of Algebra
Volume	452
DOIs	https://doi.org/10.1016/j.jalgebra.2015.12.006
State	Published - Apr 15 2016
Externally published	Yes

Keywords

Algebraic stacks
Depth
Maximal orders

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2015.12.006

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title = "Maximal orders in unramified central simple algebras",

abstract = "Using depth of coherent sheaves on noetherian algebraic stacks, we construct non-Azumaya maximal orders in unramified central simple algebras over schemes of dimension at least 3.",

keywords = "Algebraic stacks, Depth, Maximal orders",

author = "Benjamin Antieau and Kenneth Chan",

year = "2016",

month = apr,

day = "15",

doi = "10.1016/j.jalgebra.2015.12.006",

language = "English (US)",

volume = "452",

pages = "94--105",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

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AU - Chan, Kenneth

PY - 2016/4/15

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AB - Using depth of coherent sheaves on noetherian algebraic stacks, we construct non-Azumaya maximal orders in unramified central simple algebras over schemes of dimension at least 3.

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KW - Maximal orders

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DO - 10.1016/j.jalgebra.2015.12.006

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EP - 105

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

Maximal orders in unramified central simple algebras

Abstract

Keywords

ASJC Scopus subject areas

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