Proves equivalence between weighted homogeneity of reduced isolated hypersurface germs and existence of a transverse logarithmic vector field in suitable coordinates, plus an equivalent holomorphic vector field formulation.
Morvan, Singularities Admitting Contracting Automorphisms , arXiv:2412.11583
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes GAGA for varieties with contractions, a quotient structure for Hopf subvarieties, and filtrability of reflexive coherent sheaves on them.
citing papers explorer
-
Criteria of isolated weighted homogeneous hypersurface singularities using Logarithmic vector fields
Proves equivalence between weighted homogeneity of reduced isolated hypersurface germs and existence of a transverse logarithmic vector field in suitable coordinates, plus an equivalent holomorphic vector field formulation.
-
Coherent sheaves on subvarieties in Hopf manifolds
Establishes GAGA for varieties with contractions, a quotient structure for Hopf subvarieties, and filtrability of reflexive coherent sheaves on them.