The Haft Saravan area is located in 90 km SE Arak in the central Iran. This area is a part of Malyer-Isfahan metallogenic belt. The article's objective is determining the most suitable method for identifying mineralized zones using original singularity and weighted singularity methods in three-dimensional space. In weighted singularity method, mineralized zones have a greater volume relative to...

this paper is a slightly revised version of an introduction into singularity theory corresponding to a series of lectures given at the ``advanced school and conference on homological and geometrical methods in representation theory'' at the international centre for theoretical physics (ictp), miramare - trieste, italy, 11-29 january 2010. we show how to associate to a triple of positive integer...

We study the topological K-theory spectrum of the dg singularity category associated to a weighted projective complete intersection. We calculate the topological K-theory of the dg singularity category of a weighted projective hypersurface in terms of its Milnor fiber and monodromy operator, and, as an application, we obtain a lift of the Atiyah-Bott-Shapiro construction to the level of spectra.

This paper is a slightly revised version of an introduction into singularity theory corresponding to a series of lectures given at the ``Advanced School and Conference on homological and geometrical methods in representation theory'' at the International Centre for Theoretical Physics (ICTP), Miramare - Trieste, Italy, 11-29 January 2010. We show how to associate to a triple of posit...

We consider surface singularities in C3 arising as the total space of an equisingular deformation of an isolated curve singularity of the form f(x, y)+zg(x, y) with f and g weighted homogeneous. We give a criterion that such a surface is a free divisor in the sense of Saito. We deduce that the Hessian deformation defines a free divisor for nonsimple weighted homogeneous singularities, and that ...

We develop the theory of weighted Ricci curvature in a Lorentz-Finsler framework and extend classical singularity theorems general relativity. In order to reach this result, we generalize Jacobi, Riccati Raychaudhuri equations Finsler spacetimes study their implications for existence conjugate points along causal geodesics. also show version Bonnet-Myers theorem based on generalized Bishop ineq...

The study of reductive group actions on a normal surface singularity X is facilitated by the fact that the group AutX of automorphisms of X has a maximal reductive algebraic subgroup G which contains every reductive algebraic subgroup of AutX up to conjugation. If X is not weighted homogeneous then this maximal group G is finite (Scheja, Wiebe). It has been determined for cusp singularities by ...