3,643 research outputs found
On secant varieties of Compact Hermitian Symmetric Spaces
We show that the secant varieties of rank three compact Hermitian symmetric
spaces in their minimal homogeneous embeddings are normal, with rational
singularities. We show that their ideals are generated in degree three - with
one exception, the secant variety of the -dimensional spinor variety in
\pp{63} where we show the ideal is generated in degree four. We also discuss
the coordinate rings of secant varieties of compact Hermitian symmetric spaces.Comment: 15 pages, significantly cleaned u
Nuclear Tetrahedral Symmetry
We recall the main features of the Td (tetrahedral) symmetry in atomic nuclei
and present realistic mean-field calculations supporting the existence such a
symmetry all over the nuclear chart. A few potential candidate-nuclei are
investigated and the possible experimental signatures of the tetrahedral
symmetry are also briefly discussed.Comment: Proceedings of the Xth Marie Curie Nuclear Theory Workshop, Kazimierz
Dolny, Poland 4 pages, 1 figur
Quantum isolated horizons and black hole entropy
We give a short introduction to the approaches currently used to describe
black holes in loop quantum gravity. We will concentrate on the classical
issues related to the modeling of black holes as isolated horizons, give a
short discussion of their canonical quantization by using loop quantum gravity
techniques, and a description of the combinatorial methods necessary to solve
the counting problems involved in the computation of the entropy.Comment: 28 pages in A4 format. Contribution to the Proceedings of the 3rd
Quantum Geometry and Quantum Gravity School in Zakopane (2011
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