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math.AG2005
On quasihomogeneous curves
Abdallah Assi, Avinash Sathaye
A hypersurface is said to be quasihomogeneous if in suitable coordinates with assigned weights, its equation becomes weighted homogeneous in its variables. For an irreducible quasi…
math.AG2005★ 1 cited
Effective construction of irreducible curve singularities
Abdallah Assi, Margherita Barile
We can associate with any irreducible curve singularity (ics) a numerical semigroup. Two ics are said to be equisingular if they have the same semigroup. Two equisingular ics have…
math.AG1999
Jacobian of meromorphic curves
S. S. Abhyankar, A. Assi
The contact structure of two meromorphic curves gives a factorization of their jacobian.