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本文给出了剩余交和一般剩余交的几个性质,主要讨论了剩余交的GCM性和在形变下的变化情况,并讨论了一般剩余交的GCM性,CM性和可光滑性等. 相似文献
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王文举 《纯粹数学与应用数学》1999,15(1):25-31
给出了连锁类的几个不变性质,得到:在CM局部环中,广义CM性是连锁类的不变性质;强广义CM性是偶连锁类的不变性质;在正则局部环中,余维数k≤3可光滑性是连锁类的不变性质。 相似文献
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《Mathematische Nachrichten》2017,290(16):2696-2707
The Jacobian ideal provides the set of infinitesimally trivial deformations for a homogeneous polynomial, or for the corresponding complex projective hypersurface. In this article, we investigate whether the associated linear deformation is indeed trivial, and show that the answer is no in a general situation. We also give a characterization of tangentially smoothable hypersurfaces with isolated singularities. Our results have applications in the local study of variations of projective hypersurfaces, complementing the global versions given by J. Carlson and P. Griffiths, R. Donagi and the author, and in the study of isotrivial linear systems on the projective space, showing that a general divisor does not belong to an isotrivial linear system of positive dimension. 相似文献
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Joachim Jelisiejew Grzegorz Kapustka Micha Kapustka 《Mathematische Nachrichten》2019,292(9):2018-2027
We study the degrees of generators of the ideal of a projected Veronese variety to depending on the center of projection. This is related to the geometry of zero dimensional schemes of length 8 in , Cremona transforms of , and the geometry of Tonoli Calabi‐Yau threefolds of degree 17 in . 相似文献
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Recently, folk questions on the smoothability of Cauchy hypersurfaces and time functions of a globally hyperbolic spacetime M, have been solved. Here we give further results, applicable to several problems:
Even more, accurate versions of this last result are obtained if the Cauchy hypersurface S were non-spacelike (including non-smooth, or achronal but non-acausal). 相似文献
(1) | Any compact spacelike acausal submanifold H with boundary can be extended to a spacelike Cauchy hypersurface S. If H were only achronal, counterexamples to the smooth extension exist, but a continuous extension (in fact, valid for any compact achronal subset K) is still possible. |
(2) | Given any spacelike Cauchy hypersurface S, a Cauchy temporal function (i.e., a smooth function with past-directed timelike gradient everywhere, and Cauchy hypersurfaces as levels) with is constructed – thus, the spacetime splits orthogonally as in a canonical way. |
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