Differential Detection and Analysis of Pathotypes and Differentiation against Xanthomonas oryzae pv. oryzae in Southern China

Pathogenic isolates were collected from different rice-cropping regions in southern China to dissect the pathogenic disintegration and variation of Xanthornonas oryzae pv. oryzae （Xoo）. Two sets of rice-Xoo differential hosts, including Chinese system with such five euhivars as IR26, Java14, Nangeng15, Tetep and Jingang 30 and international system with a series of nearisogenic lines （NILs） including IRBB5, IRBB13, IRBB3, IRBB14, IRBB2 and IR24 carrying different known resistance genes,were used to detect pathogenic disintegration for the reaction between host and pathogen with leaf-clippingmethod at the rice booting stage. The results showed the type of the pathogen were divided intosix pathotypes, i.e. , Ⅰ, Ⅱ, Ⅲ, Ⅳ, Ⅴ and Ⅸ based on the Chinese differential system, and seven pathogenicraces including RI, R2, R3, R4, R5, R8 and R10 based on the international differential system. The pathogenicity frequency of Xoo pathotypes V and IV and pathogenic races R8 and R5 were 27.40% , 19.30% and 44.67% , 15.34%, which were considered to be the prevailing races in southern China. Pathogenic rates of pathotypes Ⅳ, Ⅴ, Ⅸ and races R8, R5 against 500 varieties derived from southernChina were 96.40% , 95.00% , 50.40% , 62.00% , and 42.60%, respectively. Among which pathotype Ⅸ was the most virulent pathotype. The pathotype Ⅴ became preponderant pathotype and the new pathotype Ⅸ grew up quickly.

Development of a Highly Informative Microsatellite (SSR) Marker Framework for Rice (Oryza sativa L.) Genotyping

To select highly informative microsatellite markers （SSRs） and establish a useful genetic SSR framework for rice genotyping, 15 rice （Oryza sativa L.） cultivars including six indica varieties and nine japonica varieties were used to analyze the polymorphism information content （PIC） value of 489 SSR markers. A total of 1 296 alleles were detected by 405 polymorphic markers with an average of 3.2 per locus. The PIC value of each chromosome was ranged from 0.4039 （chromosome 2） to 0.5840 （chromosome 11）. Among the two rice subspecies, indica （0.3685-0.4952） gave a higher PIC value than japonica （0.1326-0.3164） and displayed a higher genetic diversity. Genetic diversity of indica was high on chromosome 12 （0.4952） and low on chromosome 8 （0.3685）, while that for japonica was high on chromosome 11 （0.3164） and low on chromosome 2 （0.1326）. A SSR framework including 141 highly informative markers for genotyping was selected from 199 SSR markers （PIC〉0.50）. Ninety-three SSR markers distributed on 12 chromosomes were found to be related to indica-japonica differentiation. Of these 93 pairs of SSR primers, 17 pairs were considered as core primers （all the japonica varieties have the same specific alleles, while the indica varieties have another specific alleles）, 48 pairs as the second classic primers （all the japonica or indica varieties have the same specific alleles, while the indica or japanica varieties have two or more other specific alleles ） and 28 pairs as the third classic primers （all the japonica and indica varieties have two or more alleles, but the specific alleles are different between japonica and indica）. Thirty-two SSR markers were selected to be highly informative and useful for genetic diversity analysis of japonica varieties. This work provides a lot of useful information of SSR markers for rice breeding programs, especially for genotyping, diversity analysis and genetic mapping.

ON THE FOUNDATION OF ALGEBRAIC DIFFERENTIAL GEOMETRY

An algebraic differential variety is defined as the zero-set of a differentialpolynomial set,and algebraic differential geometry is devoted to the study of such varieties.We give various decomposition formulas for the structures of such zero-sets which imply inparticular,the unique decomposition of an algebraic differential variety into its irreduciblecomponents.These formulas will find applications in various directions including mechanicaltheorem-proving of differential geometries.

IMPLICITIZATION OF PARTIAL DIFFERENTIAL RATIONAL PARAMETRIC EQUATIONS

In this paper, we propose algorithms for the following problems in the implicitization of a set of partial differential rational parametric equations P. （1）To find a characteristic set for the implicit prime ideal of P; （2） To find a canonical representation for the image of P; （3）To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters; （4） To compute the inversion maps of P, and as a consequence, to decide whether P is proper.