共查询到20条相似文献,搜索用时 31 毫秒
1.
2.
3.
4.
Steven Simon 《Journal of Combinatorial Theory, Series A》2013,120(7):1906-1912
Equivariant Ham Sandwich Theorems are obtained for the classical algebras and the finite subgroups G of their unit spheres. Given any n -valued Borel measures on and any n-dimensional free -unitary representation of G, it is shown that there exists a Voronoi partition of naturally determined by G which “G-balances” each measure, as realized by the simultaneous vanishing of each “G-average” of the measures of the partition?s isometric fundamental domains. Applications for real measures follow, among them that any n signed mass distributions on can be equipartitioned by a single complex regular p-fan if p is an odd prime. 相似文献
5.
6.
7.
We study some properties of -homotopy groups: geometric interpretations of connectivity, excision results, and a re-interpretation of quotients by free actions of connected solvable groups in terms of covering spaces in the sense of -homotopy theory. These concepts and results are well suited to the study of certain quotients via geometric invariant theory. As a case study in the geometry of solvable group quotients, we investigate -homotopy groups of smooth toric varieties. We give simple combinatorial conditions (in terms of fans) guaranteeing vanishing of low degree -homotopy groups of smooth (proper) toric varieties. Finally, in certain cases, we can actually compute the “next” non-vanishing -homotopy group (beyond ) of a smooth toric variety. From this point of view, -homotopy theory, even with its exquisite sensitivity to algebro-geometric structure, is almost “as tractable” (in low degrees) as ordinary homotopy for large classes of interesting varieties. 相似文献
8.
9.
10.
11.
12.
13.
Michael Cuntz 《Journal of Algebra》2008,319(11):4536-4558
14.
Let S be a smooth 2-codimensional real compact submanifold of , . We address the problem of finding a compact hypersurface M, with boundary S, such that is Levi-flat. We prove the following theorem. Assume that (i) S is nonminimal at every CR point, (ii) every complex point of S is flat and elliptic and there exists at least one such point, (iii) S does not contain complex submanifolds of dimension . Then there exists a Levi-flat -subvariety with negligible singularities and boundary (in the sense of currents) such that the natural projection restricts to a CR diffeomorphism between S and . To cite this article: P. Dolbeault et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005). 相似文献
15.
16.
17.
Fatima Zahra Assila 《Comptes Rendus Mathematique》2018,356(3):283-287
We study the projective logarithmic potential of a probability measure μ on the complex projective space . We prove that the range of the operator is contained in the (local) domain of definition of the complex Monge–Ampère operator acting on the class of quasi-plurisubharmonic functions on with respect to the Fubini–Study metric. Moreover, when the measure μ has no atom, we show that the complex Monge–Ampère measure of its logarithmic potential is an absolutely continuous measure with respect to the Fubini–Study volume form on . 相似文献
18.
19.