设k为一正整数,介绍了高度为k的极大右光滑(maximal right smooth extension,MRSE)链的概念,然后证明了高度为k的MRSE链可以看作高度k的光滑字的一种分割,对每一个正整数k都给出了高度为k的极大右光滑链的数量公式.对每一个正整数n,长度...设k为一正整数,介绍了高度为k的极大右光滑(maximal right smooth extension,MRSE)链的概念,然后证明了高度为k的MRSE链可以看作高度k的光滑字的一种分割,对每一个正整数k都给出了高度为k的极大右光滑链的数量公式.对每一个正整数n,长度为n的光滑字的极小高度和极大高度的MRSE链是建立长度n的光滑字数量下确界和上确界的好工具.该方法简单、直观.展开更多
In this paper, we investigate the basic equations of the motion for relativistic strings on the equatorial plane in the Schwarzsehild space-time, discuss smooth solutions of the motion equations for closed strings, an...In this paper, we investigate the basic equations of the motion for relativistic strings on the equatorial plane in the Schwarzsehild space-time, discuss smooth solutions of the motion equations for closed strings, and obtain some interesting physical results.展开更多
We give the classification of globally generated vector bundles of rank 2 on a smooth quadric surface with c1(2,2)in terms of the indices of the bundles,and extend the result to arbitrary higher rank case.We also inve...We give the classification of globally generated vector bundles of rank 2 on a smooth quadric surface with c1(2,2)in terms of the indices of the bundles,and extend the result to arbitrary higher rank case.We also investigate their indecomposability and give the sufficient and necessary condition on numeric data of vector bundles for indecomposability.展开更多
文摘设k为一正整数,介绍了高度为k的极大右光滑(maximal right smooth extension,MRSE)链的概念,然后证明了高度为k的MRSE链可以看作高度k的光滑字的一种分割,对每一个正整数k都给出了高度为k的极大右光滑链的数量公式.对每一个正整数n,长度为n的光滑字的极小高度和极大高度的MRSE链是建立长度n的光滑字数量下确界和上确界的好工具.该方法简单、直观.
基金Supported by the National Natural Science Foundation of China under Grant No. 10971190the Qiu-Shi Professor Fellowship from Zhejiang University,China
文摘In this paper, we investigate the basic equations of the motion for relativistic strings on the equatorial plane in the Schwarzsehild space-time, discuss smooth solutions of the motion equations for closed strings, and obtain some interesting physical results.
基金supported by Ministero dell’Istruzione,dell’Universit`ae della Ricerca(Italy)and Gruppo Nazionale per le Strutture Algebrice,Geometriche e le loro Applicazioni of Istituto di Alta Matematica"F.Severi"(Italy),Basic Science Research Program through National Research Foundation of Korea funded by Ministry of Education and Science Technology(Grant No.2010-0009195)the framework of PRIN2010/11‘Geometria delle variet`a algebriche’,cofinanced by Ministero dell’Istruzione,dell’Universit`ae della Ricerca(Italy)
文摘We give the classification of globally generated vector bundles of rank 2 on a smooth quadric surface with c1(2,2)in terms of the indices of the bundles,and extend the result to arbitrary higher rank case.We also investigate their indecomposability and give the sufficient and necessary condition on numeric data of vector bundles for indecomposability.
