The Hodge conjecture for Fermat fourfolds of degree at most 100, and the semi-standard obstruction at degree 70

17 pages, 5 figures, 1 table. Supplementary scripts, certificates and notes are included as an annex (arxiv_source.zip: LaTeX source, figures and anc/supplement.zip with SHA-256 checksums).

Authors

Publication Details

Journal
HAL (Le Centre pour la Communication Scientifique Directe)
Published
2026-09-20
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

The Hodge conjecture for Fermat fourfolds of degree at most 100, and the semi-standard obstruction at degree 70

Rinaldi, Oana, Unciuleanu
HAL (Le Centre pour la Communication Scientifique Directe)
Algebraic Geometry and Number Theory
preprint

The Hodge conjecture for Fermat fourfolds of degree at most 100, and the semi-standard obstruction at degree 70

Rinaldi, Oana, Unciuleanu
preprint en

Abstract

17 pages, 5 figures, 1 table. Supplementary scripts, certificates and notes are included as an annex (arxiv_source.zip: LaTeX source, figures and anc/supplement.zip with SHA-256 checksums).

HAL (Le Centre pour la Communication Scientifique Directe)
Algebraic Geometry and Number Theory
Open Access PDFOpenAlex
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The Hodge conjecture for Fermat fourfolds of degree at most 100, and the semi-standard obstruction at degree 70 — Rinaldi, Oana, Unciuleanu · HAL (Le Centre pour la Communication Scientifique Directe) (2026) | TGRS Research Map | TGRS