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arxiv: math/0301196 · v1 · submitted 2003-01-19 · 🧮 math.AG · math.RT

Boundedness of spherical Fano varieties

classification 🧮 math.AG math.RT
keywords fanosphericalexiststherevarietiesboundednesscompactificationdimension
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We prove that for any e>0, there exists only finitely many e-log terminal spherical Fano varieties of fixed dimension. We also introduce an invariant of a spherical subgroup H in a reductive group G which measures how nice an equivariant Fano compactification G/H there exists.

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