On torsion-freeness of K\'{a}hler differential sheaves
| Autor: | Das, Nilkantha, Roy, Sumit |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $X$ be a normal algebraic variety over an algebraically closed field $k$ of characteristic zero. We prove that the K\"{a}hler differential sheaf of $X$ is torsion-free if and only if any regular section of the ideal sheaf of the first order deformation of $X$ inside $X\times_k X$, defined outside the singular locus of $X \times_k X$, extends regularly to the singular locus. Comment: 7 pages. Comments are welcome |
| Databáze: | arXiv |
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