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# Derivations of negative degree on quasihomogeneous isolated complete intersection singularities.

Abstract : J. Wahl conjectured that every quasihomogeneous isolated normal singularity admits a positive grading for which there are no derivations of negative weighted degree. We confirm his conjecture for quasihomogeneous isolated complete intersection singularities of either order at least $3$ or embedding dimension at most $5$. For each embedding dimension larger than $5$ (and each dimension larger than $3$), we give a counter-example to Wahl's conjecture.
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https://hal.archives-ouvertes.fr/hal-00960092
Contributor : Michel Granger Connect in order to contact the contributor
Submitted on : Monday, March 17, 2014 - 3:49:12 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:47 AM
Long-term archiving on: : Tuesday, June 17, 2014 - 12:40:34 PM

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negder.pdf
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### Identifiers

• HAL Id : hal-00960092, version 1

### Citation

Michel Granger, Mathias Schulze. Derivations of negative degree on quasihomogeneous isolated complete intersection singularities.. 2014. ⟨hal-00960092⟩

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