Research examines derived equivalence impact on ordinary and Hodge-Witt properties of varieties, indicating deep connections.
For smooth projective varieties [Formula: see text] and [Formula: see text] over a perfect field [Formula: see text] of positive characteristic [Formula: see text] so that [Formula: see text] and [Formula: see text] are derived equivalent, and admitting a closed embedding into [Formula: see text], we assume that [Formula: see text]. We prove that if [Formula: see text] is ordinary (resp., Hodge-Witt), then [Formula: see text] is ordinary (resp., Hodge-Witt).
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Keiho Matsumoto (2026) studied this question.
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