The Makar-Limanov Invariant Equals Its Slice Version in Dimension Three

Over any field of characteristic zero, the Makar-Limanov invariant of a domain coincides with its slice version whenever the latter has transcendence degree at most one or one less than that of the domain. In dimension three this settles a question of Dasgupta and Gupta, which had been answered only over algebraically closed fields. LaTeX source, figures and PDF.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24123916
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

The Makar-Limanov Invariant Equals Its Slice Version in Dimension Three

Deep Bhattacharjee
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
article

The Makar-Limanov Invariant Equals Its Slice Version in Dimension Three

Deep Bhattacharjee
article en

Abstract

Over any field of characteristic zero, the Makar-Limanov invariant of a domain coincides with its slice version whenever the latter has transcendence degree at most one or one less than that of the domain. In dimension three this settles a question of Dasgupta and Gupta, which had been answered only over algebraically closed fields. LaTeX source, figures and PDF.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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The Makar-Limanov Invariant Equals Its Slice Version in Dimension Three — Deep Bhattacharjee · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS