Geodesic
THREE-DIMENSIONAL ISOLATED QUOTIENT SINGULARITIES IN EVEN CHARACTERISTIC
Glasgow mathematical journal, Tome 60 (2018) no. 2, pp. 435-445

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DOI

This paper is a complement to the work of the second author on modular quotient singularities in odd characteristic. Here, we prove that if V is a three-dimensional vector space over a field of characteristic 2 and G < GL(V) is a finite subgroup generated by pseudoreflections and possessing a two-dimensional invariant subspace W such that the restriction of G to W is isomorphic to the group SL2(F2n), then the quotient V/G is non-singular. This, together with earlier known results on modular quotient singularities, implies first that a theorem of Kemper and Malle on irreducible groups generated by pseudoreflections generalizes to reducible groups in dimension three, and, second, that the classification of three-dimensional isolated singularities that are quotients of a vector space by a linear finite group reduces to Vincent's classification of non-modular isolated quotient singularities. 
SHCHIGOLEV, VLADIMIR; STEPANOV, DMITRY. THREE-DIMENSIONAL ISOLATED QUOTIENT SINGULARITIES IN EVEN CHARACTERISTIC. Glasgow mathematical journal, Tome 60 (2018) no. 2, pp. 435-445. doi: 10.1017/S0017089517000192
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     author = {SHCHIGOLEV, VLADIMIR and STEPANOV, DMITRY},
     title = {THREE-DIMENSIONAL {ISOLATED} {QUOTIENT} {SINGULARITIES} {IN} {EVEN} {CHARACTERISTIC}},
     journal = {Glasgow mathematical journal},
     pages = {435--445},
     year = {2018},
     volume = {60},
     number = {2},
     doi = {10.1017/S0017089517000192},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000192/}
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