Vistoli's conjecture on the kernel of equivariant Riemann–Roch
Vistoli's conjecture on the kernel of equivariant Riemann–Roch
Let act on with finite reduced stabilizers. Write
for the equivariant Riemann–Roch map, and let lie in its kernel. An element has every non-zero rank if it is represented by a complex of locally free sheaves whose homology is non-zero at the generic point of every subvariety.
Vistoli's conjecture. If
then there exists an element with every non-zero rank such that
The conjecture describes the kernel of the equivariant Riemann–Roch map when the quotient has finite reduced stabilizers. The supplied source does not state whether it has been resolved.
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Sources & referencesView supporting material
Primary source
Dan Edidin and William Graham, “Equivariant intersection theory”, arXiv:alg-geom/9603008 (1996).
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