Proves existence of positive-density hypersurfaces over finite fields intersecting a reduced equidimensional quasiprojective scheme X such that multiplicity e_P is preserved at all closed points P of the intersection.
Bounds for log canonical thresholds with applications to birational rigidity
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Classifies equigenerated homogeneous ideals attaining equality in the Takagi-Watanabe bound fpt(I) >= height(I)/d and provides a new lower bound on fpt(I) via height of the test ideal tau(I to the power fpt(I)).
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Bertini theorems for Hilbert-Samuel multiplicity over finite fields
Proves existence of positive-density hypersurfaces over finite fields intersecting a reduced equidimensional quasiprojective scheme X such that multiplicity e_P is preserved at all closed points P of the intersection.
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On lower bounds for the F-pure threshold of equigenerated ideals
Classifies equigenerated homogeneous ideals attaining equality in the Takagi-Watanabe bound fpt(I) >= height(I)/d and provides a new lower bound on fpt(I) via height of the test ideal tau(I to the power fpt(I)).