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Boundedness of $n$-complements for generalized pairs
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abstract
We show the existence of $n$-complements for generalized pairs with additional Diophantine approximation properties when the coefficients of boundaries belong to a DCC set.
Forward citations
Cited by 3 Pith papers
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Discreteness of volumes of divisors on Calabi-Yau type varieties
Volumes of integral divisors on epsilon-lc Calabi-Yau pairs lie in a fixed discrete set, settling Birkar's boundedness conjecture for polarized log Calabi-Yau pairs.
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The volume function is upper semicontinuous on families of divisors
The volume of a divisor on the generic fiber of a flat family equals the infimum of its volumes on any dense family of fibers, yielding upper semicontinuity for reduced irreducible fibers.
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Partition of Unity Neural Networks for Interpretable Classification with Explicit Class Regions
A classifier architecture that builds class probabilities as a product of learned gates (a partition of unity) is introduced; a density theorem shows it can approximate any continuous probability map.
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