An Odd-Divisor Obstruction for Cyclically Invariant Grassmannian Initial Ideals

Over a field of characteristic zero, we prove that the Pluecker ideal of Gr(k,n) has no monomial initial ideal invariant under cyclic rotation whenever gcd(k,n) has an odd divisor greater than one. More generally, for n=mq and k=rq with q>1 odd and 1<=r

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23680205
Primary Topic
Commutative Algebra and Its Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

An Odd-Divisor Obstruction for Cyclically Invariant Grassmannian Initial Ideals

Alper Ferudun
Zenodo (CERN European Organization for Nuclear Research)
Commutative Algebra and Its Applications
preprint

An Odd-Divisor Obstruction for Cyclically Invariant Grassmannian Initial Ideals

Alper Ferudun
preprint en

Abstract

Over a field of characteristic zero, we prove that the Pluecker ideal of Gr(k,n) has no monomial initial ideal invariant under cyclic rotation whenever gcd(k,n) has an odd divisor greater than one. More generally, for n=mq and k=rq with q>1 odd and 1<=r

Zenodo (CERN European Organization for Nuclear Research)
Commutative Algebra and Its Applications
DOIOpen Access PDFOpenAlex
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.

Laika access coming soon
An Odd-Divisor Obstruction for Cyclically Invariant Grassmannian Initial Ideals — Alper Ferudun · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS