Let G be type B_2 and denote the two simple roots a and β with α the short one. If B is a Borel subgroup of G, X a character of B, and(X) a induced line bundle on G/B, we denote by H^1 (X)=H^1 (G/B, (X)) the first c...Let G be type B_2 and denote the two simple roots a and β with α the short one. If B is a Borel subgroup of G, X a character of B, and(X) a induced line bundle on G/B, we denote by H^1 (X)=H^1 (G/B, (X)) the first cohomology group of (X). Our main results in this paperare: Theorem Let G be type B_2;x∈X(T) be p-regular and 1≤a<p. Then H^1(X) is a simple G-module iff one of the following conditions Ⅰ)-Ⅳ> holds: Ⅰ) X∈s_α·C_0 Ⅱ) X∈s_β·C_0 Ⅲ) Ⅳ)展开更多
This paper systematically analyzed 36 earthquake swarms in and around Jiangsu Province, summarized their characteristics and discussed the relationship between earthquske swarms and subsequent strong earthquakes. It a...This paper systematically analyzed 36 earthquake swarms in and around Jiangsu Province, summarized their characteristics and discussed the relationship between earthquske swarms and subsequent strong earthquakes. It also analyzed the judgment criteria for precursory earthquake swarms. Earthquake swarms in Jiangsu Province are concentrated in several areas. Most of them were of magnitude ML2.0～3.9. For most earthquake swarms, the number of earthquakes was less than 30. Time duration for about 55% of earthquake swarms was less than 15 days. The biggest magnitude of one earthquake swarm was not proportional to the number of earthquakes and time duration. There are 78% of earthquake swarms corresponded to the forthcoming earthquakes of M>4.6 in which there're 57% occured in one year, This shows a medium-and short-term criterion. Distance between earthquake swarm and future earthquake was distributed dispersedly. There were no earthquakes occurring in the same location as earthquake swarms. There was no good correlation between the magnitude and the corresponding rate of future earthquakes and the intensity of earthquake swarms. There was also no good correlation between the number of earthquakes in an earthquake swarm and the corresponding rate. The study also shows that it's better to use U-p or whole-combination to determine the type of earthquake swarm.展开更多
文摘Let G be type B_2 and denote the two simple roots a and β with α the short one. If B is a Borel subgroup of G, X a character of B, and(X) a induced line bundle on G/B, we denote by H^1 (X)=H^1 (G/B, (X)) the first cohomology group of (X). Our main results in this paperare: Theorem Let G be type B_2;x∈X(T) be p-regular and 1≤a<p. Then H^1(X) is a simple G-module iff one of the following conditions Ⅰ)-Ⅳ> holds: Ⅰ) X∈s_α·C_0 Ⅱ) X∈s_β·C_0 Ⅲ) Ⅳ)
基金funded by the Social Development Program of Jiangsu Province(Grant No.BS2007084)
文摘This paper systematically analyzed 36 earthquake swarms in and around Jiangsu Province, summarized their characteristics and discussed the relationship between earthquske swarms and subsequent strong earthquakes. It also analyzed the judgment criteria for precursory earthquake swarms. Earthquake swarms in Jiangsu Province are concentrated in several areas. Most of them were of magnitude ML2.0～3.9. For most earthquake swarms, the number of earthquakes was less than 30. Time duration for about 55% of earthquake swarms was less than 15 days. The biggest magnitude of one earthquake swarm was not proportional to the number of earthquakes and time duration. There are 78% of earthquake swarms corresponded to the forthcoming earthquakes of M>4.6 in which there're 57% occured in one year, This shows a medium-and short-term criterion. Distance between earthquake swarm and future earthquake was distributed dispersedly. There were no earthquakes occurring in the same location as earthquake swarms. There was no good correlation between the magnitude and the corresponding rate of future earthquakes and the intensity of earthquake swarms. There was also no good correlation between the number of earthquakes in an earthquake swarm and the corresponding rate. The study also shows that it's better to use U-p or whole-combination to determine the type of earthquake swarm.
