Suslin’s cancellation conjecture in the smooth case

We prove that stably isomorphic vector bundles of rank d−1 on a smooth affine d-fold X over an algebraically closed field k are indeed isomorphic, provided that d!∈k×. This answers an old conjecture of Suslin.

Institutions

Publication Details

Journal
Duke Mathematical Journal
Published
2025-09-01
DOI
https://doi.org/10.1215/00127094-2024-0076
Citations
1
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
4.09
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Suslin’s cancellation conjecture in the smooth case

1 citations
Duke Mathematical Journal
Algebraic Geometry and Number Theory
4.09
article

Suslin’s cancellation conjecture in the smooth case

article en
1 citations

Abstract

We prove that stably isomorphic vector bundles of rank d−1 on a smooth affine d-fold X over an algebraically closed field k are indeed isomorphic, provided that d!∈k×. This answers an old conjecture of Suslin.

Duke Mathematical JournalVol. 174(12)
Centre National de la Recherche Scientifique (FR), Institut Fourier (FR), Université Grenoble Alpes (FR)
Openalex Percentile: Top 14%
Algebraic Geometry and Number Theory
4.09
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.

Suslin’s cancellation conjecture in the smooth case · Duke Mathematical Journal (2025) | TGRS Research Map | TGRS