Let MR<sup>n+1</sup> be a compact connected smooth hypersurface, and WR<sup>n+1</sup> be the area bounded by M. We study the question: Does W contain a principal centre of curvature for some po...Let MR<sup>n+1</sup> be a compact connected smooth hypersurface, and WR<sup>n+1</sup> be the area bounded by M. We study the question: Does W contain a principal centre of curvature for some point of M?展开更多
Let X be a generic smooth irreducible complex projective curve of genus g with g≥4. In this paper, we generalize the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a ...Let X be a generic smooth irreducible complex projective curve of genus g with g≥4. In this paper, we generalize the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a necessary and sufficient condition on the existence of n-dimensional indecomposable vector bundles E on X with det(E)=d, dim H^0(X,E)≥h. We also determine under what condition the set of all such vector bundles will be finite and how many elements it contains.展开更多
According to the idea of class field theory, the possible absolutely normal number fieldsare restricted in nature by the arithmetical properties of rational number field .Becausethe fundamental arithmetical property o...According to the idea of class field theory, the possible absolutely normal number fieldsare restricted in nature by the arithmetical properties of rational number field .Becausethe fundamental arithmetical property of is the distributive law of the prime numbers,展开更多
文摘Let MR<sup>n+1</sup> be a compact connected smooth hypersurface, and WR<sup>n+1</sup> be the area bounded by M. We study the question: Does W contain a principal centre of curvature for some point of M?
基金Project partly supported by the National Natural Science Foundation of China
文摘Let X be a generic smooth irreducible complex projective curve of genus g with g≥4. In this paper, we generalize the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a necessary and sufficient condition on the existence of n-dimensional indecomposable vector bundles E on X with det(E)=d, dim H^0(X,E)≥h. We also determine under what condition the set of all such vector bundles will be finite and how many elements it contains.
文摘According to the idea of class field theory, the possible absolutely normal number fieldsare restricted in nature by the arithmetical properties of rational number field .Becausethe fundamental arithmetical property of is the distributive law of the prime numbers,
