What question did this study set out to answer?

The research aims to explore the relationship between derived equivalence and the ordinary or Hodge-Witt properties of smooth projective varieties over a perfect field of positive characteristic.

February 28, 2026

Derived Equivalents and Ordinary Reductions

Key Points

The research aims to explore the relationship between derived equivalence and the ordinary or Hodge-Witt properties of smooth projective varieties over a perfect field of positive characteristic.
Analyzed smooth projective varieties over a perfect field
Assumed closed embedding into another variety
Investigated implications of ordinary and Hodge-Witt conditions
If one variety is ordinary, the other is also ordinary under derived equivalence
If one variety is Hodge-Witt, the other is also Hodge-Witt

Abstract

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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Cite This Study

Keiho Matsumoto (Fri,) studied this question.

synapsesocial.com/papers/69a287f20a974eb0d3c03e49 https://doi.org/https://doi.org/10.1142/s100538672600012x

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