Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
and Enescu, Florian , TITLE =
4 Pith papers cite this work. Polarity classification is still indexing.
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The authors establish the Carvajal-Rojas-Schwede-Tucker conjecture on positive limiting F-signature for two specific classes of complex KLT singularities using inductive arguments and toric degenerations inspired by K-stability.
Quasi-F^e-splitting for all e implies numerically log canonical for numerically Q-Gorenstein normal singularities, with converse in dim 2 when p does not divide the Gorenstein index, plus a classification of 2D quasi-F-split cases.
The asymptotic behavior of the sequence of Bass numbers μ^i(p0, H^j_{R+}(M)_n) is studied for i=0 or 1 with j≤f, when R0 is regular with i near height(p0) and j=cd, and when M is relative Cohen-Macaulay w.r.t. R+.
citing papers explorer
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BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
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On positivity of the limit F-signature
The authors establish the Carvajal-Rojas-Schwede-Tucker conjecture on positive limiting F-signature for two specific classes of complex KLT singularities using inductive arguments and toric degenerations inspired by K-stability.
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Quasi-$F$-splitting versus log canonicity
Quasi-F^e-splitting for all e implies numerically log canonical for numerically Q-Gorenstein normal singularities, with converse in dim 2 when p does not divide the Gorenstein index, plus a classification of 2D quasi-F-split cases.
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Bass numbers of graded components of local cohomology modules
The asymptotic behavior of the sequence of Bass numbers μ^i(p0, H^j_{R+}(M)_n) is studied for i=0 or 1 with j≤f, when R0 is regular with i near height(p0) and j=cd, and when M is relative Cohen-Macaulay w.r.t. R+.