On torsion-freeness of Kähler differential sheaves
Article Type
Research Article
Publication Title
Bulletin of the London Mathematical Society
Abstract
Let (Formula presented.) be a normal algebraic variety over an algebraically closed field (Formula presented.). We prove that the Kähler differential sheaf of (Formula presented.) is torsion-free if and only if any regular section of the ideal sheaf of the first order deformation of (Formula presented.) inside (Formula presented.), defined outside the singular locus of (Formula presented.), extends regularly to the singular locus.
First Page
2982
Last Page
2990
DOI
10.1112/blms.13114
Publication Date
9-1-2024
Recommended Citation
Das, Nilkantha and Roy, Sumit, "On torsion-freeness of Kähler differential sheaves" (2024). Journal Articles. 4961.
https://digitalcommons.isical.ac.in/journal-articles/4961
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