Uniform (d + 1)-bundle over the Grassmannian G(d,n)

This paper is dedicated to the classification of uniform vector bundles of rank [Formula: see text] over the Grassmannian [Formula: see text] ([Formula: see text]) over an algebraically closed field in characteristic [Formula: see text]. Specifically, we show that all uniform vector bundles with rank [Formula: see text] over [Formula: see text] are homogeneous.

Authors

Institutions

Publication Details

Journal
International Journal of Mathematics
Published
2024-10-18
DOI
https://doi.org/10.1142/s0129167x24500824
Citations
1
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.89

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Uniform (d + 1)-bundle over the Grassmannian G(d,n)

Rong Du, Yuhang Zhou
1 citations
International Journal of Mathematics
Advanced Algebra and Geometry
0.89
article

Uniform (d + 1)-bundle over the Grassmannian G(d,n)

Rong Du, Yuhang Zhou
article en
1 citations

Abstract

This paper is dedicated to the classification of uniform vector bundles of rank [Formula: see text] over the Grassmannian [Formula: see text] ([Formula: see text]) over an algebraically closed field in characteristic [Formula: see text]. Specifically, we show that all uniform vector bundles with rank [Formula: see text] over [Formula: see text] are homogeneous.

International Journal of MathematicsVol. 36(04)
East China Normal University (CN)
Science and Technology Commission of Shanghai Municipality, Natural Science Foundation of Chongqing, Science and Technology Innovation Plan Of Shanghai Science and Technology Commission
Openalex Percentile: Top 28%
Advanced Algebra and Geometry
0.89
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.