Introduces residual regularity for tensor triangulated categories, proves descent/ascent under finite separable extensions, and classifies all finite groups with residually regular derived permutation module categories.
Geometric Points in Tensor Triangular Geometry
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves a nilpotence theorem for rational rigid 2-rings of moderate growth and shows such categories have enough tt-fields of the form Perf(L) for even 2-periodic fields L.
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Residual regularity in tensor triangular geometry
Introduces residual regularity for tensor triangulated categories, proves descent/ascent under finite separable extensions, and classifies all finite groups with residually regular derived permutation module categories.
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A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate Growth
Proves a nilpotence theorem for rational rigid 2-rings of moderate growth and shows such categories have enough tt-fields of the form Perf(L) for even 2-periodic fields L.