Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of $C{P}^n$ by the degrees of the polynomials defining it

M. Carmen Domingo-Juan, Vicente Miquel

We obtain upper bounds for the first Dirichlet eigenvalue of a tube around a complex submanifold $P$ of $C{P}^n$ which depends only on the radius of the tube, the degrees of the poly…