Derived Equivalents and Ordinary Reductions

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).

Authors

Institutions

Publication Details

Journal
Algebra Colloquium
Published
2026-02-27
DOI
https://doi.org/10.1142/s100538672600012x
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Derived Equivalents and Ordinary Reductions

Keiho Matsumoto
Algebra Colloquium
Algebraic Geometry and Number Theory
article

Derived Equivalents and Ordinary Reductions

Keiho Matsumoto
article en

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).

Algebra ColloquiumVol. 33(01)
The University of Osaka (JP)
Reduced inequalities
Openalex Percentile: Top 37%
Algebraic Geometry and Number Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Derived Equivalents and Ordinary Reductions — Keiho Matsumoto · Algebra Colloquium (2026) | TGRS Research Map | TGRS