Results 1 - 10 of 44579
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[en] We describe three-dimensional exceptional strictly log canonical hypersurface singularities and give a detailed classification of three-dimensional exceptional canonical hypersurface singularities under the condition of well-formedness
[en] The closed non-self-intersecting geodesics on the surface of a three-dimensional simplex are studied. It is proved that every geodesic on an arbitrary simplex can be realized on a regular simplex. This enables us to obtain a complete classification of all geodesics and describe their structure. Conditions for the existence of geodesics are obtained for an arbitrary simplex. It is proved that a simplex has infinitely many essentially different geodesics if and only if it is isohedral. Estimates for the number of geodesics are obtained for other simplexes. Bibliography: 13 titles.
[en] This paper deals with an inverse pointwise source problem for the Helmholtz equation in the three-dimensional case from single Cauchy data at a fixed frequency. Stability estimates of locations, intensities and moments for monopolar and dipolar sources are established. (paper)
[en] We derive an accurate estimate for the order of magnitude of the remainder term in the problem of the number of lattice points in families of homothetic domains belonging to the class of three-dimensional solids of revolution with smooth boundaries (under certain additional conditions). This estimate is realized in the case of the solid bounded by a standardly embedded torus, for which the second term of the expansion, which describes the dependence of the number of lattice points on the dilation parameter, is written in explicit form
[en] Shokurov's vanishing theorem is used for the proof of the Q-factoriality of the following nodal threefolds: a complete intersection of hypersurfaces F and G in P5 of degrees n and k, n≥k, such that G is smooth and |Sing(F intersection G)|≤(n+k-2)(n-1)/5; a double cover of a smooth hypersurface F subset of P4 of degree n branched over the surface cut on F by a hypersurface G subset of P4 of degree 2r≥n, provided that |Sing(F intersection G)|≤2r+n-2)r/4