Reflexive Descent to Minimal Seeds in the Kreuzer–Skarke List

Every reflexive polytope descends to a minimal seed through reflexive polytopes, one cover at a time. We prove that the largest length Dd of a shortest such descent is 5 in dimension two and 11 in dimension three, that 22 ≤ D4 ≤ 50, and that Dd grows at least linearly with d.

Authors

Publication Details

Journal
Preprints.org
Published
2026-11-03
DOI
https://doi.org/10.20944/preprints202603.1056.v2
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

Reflexive Descent to Minimal Seeds in the Kreuzer–Skarke List

Deep Bhattacharjee, Ushashi Bhattacharya
Preprints.org
Algebraic Geometry and Number Theory
preprint

Reflexive Descent to Minimal Seeds in the Kreuzer–Skarke List

Deep Bhattacharjee, Ushashi Bhattacharya
preprint en

Abstract

Every reflexive polytope descends to a minimal seed through reflexive polytopes, one cover at a time. We prove that the largest length Dd of a shortest such descent is 5 in dimension two and 11 in dimension three, that 22 ≤ D4 ≤ 50, and that Dd grows at least linearly with d.

Preprints.org
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Reflexive Descent to Minimal Seeds in the Kreuzer–Skarke List — Deep Bhattacharjee, Ushashi Bhattacharya · Preprints.org (2026) | TGRS Research Map | TGRS