Derivations of negative degree on quasihomogeneous isolated complete intersection singularities
Algebraic Geometry
2014-06-27 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1403.3844,
title = {Derivations of negative degree on quasihomogeneous isolated complete intersection singularities},
author = {Michel Granger and Mathias Schulze},
journal= {arXiv preprint arXiv:1403.3844},
year = {2014}
}
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11 pages