The log Calabi–Yau varieties have Frobenius split type conjecture
The log Calabi–Yau varieties have Frobenius split type conjecture
Let be a log Calabi–Yau variety of characteristic zero, meaning that admits an effective -divisor such that is log canonical and is -linearly equivalent to the trivial divisor. A variety is Frobenius split type if it has Frobenius-split reductions modulo a Zariski-dense set of primes.
Frobenius split type conjecture. If is a log Calabi–Yau variety of characteristic zero, then has Frobenius split type.
This is presented as the characteristic-zero analogue of the result that normal Frobenius-split projective varieties are log Calabi–Yau. The conjecture remains open in the source.
Sources & referencesView supporting material
Primary source
Karen E. Smith and Wenliang Zhang, “Frobenius Splitting in Commutative Algebra”, arXiv:1409.1169 (2014).
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