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math.AC2025
Quasihomogeneous isolated singularities in terms of syzygies and foliations
Hamid Hassanzadeh, Abbas Nasrollah Nejad, Aron Simis
One considers quasihomogeneous isolated singularities of hypersurfaces in arbitrary dimensions through the lenses of three apparently quite apart themes: syzygies, singularity inva…
math.AG2025
On Strong Lefschetz Property of 0-dimensional complete intersections and Veronese varieties
Alexandru Dimca, Giovanna Ilardi, Abbas Nasrollah Nejad
We show that the Strong Lefschetz Property in degree 1 for a homogeneous 0-dimensional complete intersection holds if the corresponding associated form, the Macaulay inverse system…