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Pré-Publication, Document De Travail Année : 2014

Derivations of negative degree on quasihomogeneous isolated complete intersection singularities.

Résumé

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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Dates et versions

hal-00960092 , version 1 (17-03-2014)

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  • HAL Id : hal-00960092 , version 1

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