Six-dimensional exceptional quotient singularities

Ivan Cheltsov; Constantin Shramov

doi:10.4310/MRL.2011.v18.n6.a6

Six-dimensional exceptional quotient singularities

Ivan Cheltsov, Constantin Shramov

School of Mathematics

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

Abstract / Description of output

We classify six-dimensional exceptional quotient singularities and show that seven-dimensional exceptional quotient singularities do not exist. Inter alia we prove that the irreducible six-dimensional projective representation of the sporadic simple Hall–Janko group gives rise to an exceptional quotient singularity.

Original language	English
Pages (from-to)	1121 – 1139
Journal	Mathematical research letters
Volume	18
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2011.v18.n6.a6
Publication status	Published - 2012

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10.4310/MRL.2011.v18.n6.a6

Six-dimensional exceptional quotient singularitiesAccepted author manuscript, 216 KB

http://intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0018/0006/a006/index.html

V Iberoamerican congress on geometry
Cheltsov, I.
Other (Learned Society)
10/12/10 → 31/12/10
Project: Research

Cite this

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title = "Six-dimensional exceptional quotient singularities",

abstract = "We classify six-dimensional exceptional quotient singularities and show that seven-dimensional exceptional quotient singularities do not exist. Inter alia we prove that the irreducible six-dimensional projective representation of the sporadic simple Hall–Janko group gives rise to an exceptional quotient singularity.",

author = "Ivan Cheltsov and Constantin Shramov",

year = "2012",

doi = "10.4310/MRL.2011.v18.n6.a6",

language = "English",

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AU - Shramov, Constantin

PY - 2012

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U2 - 10.4310/MRL.2011.v18.n6.a6

DO - 10.4310/MRL.2011.v18.n6.a6

M3 - Article

SN - 1073-2780

VL - 18

SP - 1121

EP - 1139

JO - Mathematical research letters

JF - Mathematical research letters

IS - 6

ER -

Six-dimensional exceptional quotient singularities

Abstract / Description of output

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V Iberoamerican congress on geometry

Cite this