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I prove the existence of small time heat expansion for the Laplace operatoron an analytic hypersurface with an isolated singularity. First we obtain alocal parametrization of the hypersurface near the singularity. We introducethe notion of quasihomogeneous tangent cone. Then perturb the parametrizationof the cone employing a Newton scheme and obtain a parametrization withfunctions of specific form. These allow us to obtain local models for theLaplace operator near the singularity. These are operators with irregularsingularities. We derive the estimates required by singular asymptotics.

Small time heat expansion of the laplacian on an analytic hypersurface with an isolated singularity