The coordinate ring of the universal centralizer equals the result of applying Demazure operators to the coordinate ring of X precisely when the W-fixed points of the Weil restriction of X is an integral scheme.
Lie Group Representations on Polynomial R ings
3 Pith papers cite this work. Polarity classification is still indexing.
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Classifies rational (quasi-)elliptic surfaces with global vector fields in char p ≠ 2, determining fibers, automorphism schemes, moduli, and Jacobian property except for p=3,5.
Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.
citing papers explorer
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The coordinate ring of the universal centralizer via Demazure operators
The coordinate ring of the universal centralizer equals the result of applying Demazure operators to the coordinate ring of X precisely when the W-fixed points of the Weil restriction of X is an integral scheme.
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Rational (quasi-)elliptic surfaces with global vector fields in odd characteristic
Classifies rational (quasi-)elliptic surfaces with global vector fields in char p ≠ 2, determining fibers, automorphism schemes, moduli, and Jacobian property except for p=3,5.
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On involutions of minuscule Kirillov algebras induced by real structures
Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.