【摘 要】
：
We focus on the elliptic genera of level N at the cusps of a congruence subgroup for any complete intersection.Writing the first Chern class of a complete intersection as a product of an integral coefficient c1 and a generator of the 2nd integral cohomolo
【机 构】
：
School of Mathematics,Tianjin University,Tianjin 300350,China;College of Mathematical Science,Tianji
论文部分内容阅读
We focus on the elliptic genera of level N at the cusps of a congruence subgroup for any complete intersection.Writing the first Chern class of a complete intersection as a product of an integral coefficient c1 and a generator of the 2nd integral cohomology group,we mainly discuss the values of the elliptic genera of level N for the complete intersection in the cases of c1 ＞,=,or ＜ 0.In particular,the values about the Todd genus,(A)-genus,and Ak-genus can be derived from the elliptic genera of level N.
其他文献
为研究广西三娘湾海域表层沉积物有机质中烃类化合物的分布特征及来源,于2019年10月在三娘湾海域采集了表层沉积物样品,利用加速溶剂萃取GC-MSD法对沉积物中的16种多环芳烃(PAHs)进行了分析。结果表明三娘湾海域表层沉积物样品中多环芳烃的含量为37~241.8 ng/g,总体处于含量较低的水平,但与往年相比研究区PAHs含量增加明显。通过组分分析等方法进行PAHs的来源分析,结果指示其主要来源为燃烧源,夹杂石油源的混合来源;通过效应区间法对多环芳烃进行生态风险评价,认为其总体处于风险较低的水平。综合研
Let c ＞ 1 and 0 ＜ γ ＜ 1.We study the solubility of the Diophantine inequality |pc1 + pc2 + … + pcs-N| ＜ (log N)-1 in Piatetski-Shapiro primes p1,p2,...,ps of the form pj =[m1/γ]for some m ∈ N,and improve the previous results in the cases s =2,3,4.
对泰青威天然气管道临朐段地质灾害发育特征进行调查研究发现,临朐段地质灾害类型主要为水毁灾害,具体可分为坡面水毁、河沟道水毁和台田地水毁。野外地质灾害实地调查临朐段管道沿线共发现地质灾害15处,其中坡面水毁点6处,河沟道水毁点4处,台田地水毁点5处。采用定性与半定量相结合的评价方法对其进行地质灾害风险评价,结果表明地质灾害风险等级较高的有1处,占6.66%;风险等级中等的有4处,占26.67%;风险等级较低的有10处,占66.67%。根据管道沿线地形地貌、地质灾害发育密度、风险等级等因素,划分地质灾害中易发
We investigate periodic solutions of regime-switching jump diffusions.We first show the well-posedness of solutions to stochastic differential equations corresponding to the hybrid system.Then,we derive the strong Feller property and irreducibility of the
采用先分析后逐层深入的方法,对福泉市英坪磷矿区水文地质条件进行了分析,选择矿区南风竖井工程附近断层、节理裂隙等发育的富水区域,采用大口径钻孔抽排地下水,利用抽排形成的补给漏斗对地下水静水压力、水位、补径排等进行干预,摸清了矿区地下水补径排规律,查明了造成深部采掘工程施工突水的主要因素及途径。研究认为,在断裂和节理裂隙发育的富水区进行大口径钻孔抽排可达到抽排疏干效果,能够较好地解决突水危害,是治理矿山突水危害十分有效的措施。该防治技术方法在该地区类似矿山建设中具有较大的推广意义。
关中盆地浅层地热能资源十分丰富,但目前开采程度仍有待提高。土壤的热物理性质在很大程度上决定了其工程特性,对浅层地热能在开发利用过程中所涉及的基本理论和开发方法等具有较大影响。通过室内试验对西安市、咸阳市、渭南市和宝鸡市范围内的粉质黏土的热物理性质开展研究,对试验数据进行了分析,进而揭示了粉质黏土比热容、导温系数和热导率的宏观变化规律。结果表明粉质黏土的热导率为0.82~2.65 W/(m·K),导温系数为0.00128~0.00486 m2/h,比热容为0.77~1.53 kJ/(k
Suppose that the underlying field is of characteristic different from 2 and 3.We first prove that the so-called stem deformations of a free presentation of a finite-dimensional Lie superalgebra L exhaust all the maximal stem extensions of L,up to equivale
矿山正常的生产经营活动势必形成一定的矿山地质环境问题.为全面贯彻生态文明思想,牢固树立“绿水青山就是金山银山”的理念,按照恢复生态、兼顾景观总体要求,因地制宜、多措并举,扎实开展废弃露天矿山地质环境修复.依据矿山地质环境保护与恢复的相关规范与要求,以汶川某废弃露天矿山为例,从矿山环境角度介绍了矿山地质环境的影响因素,开展矿山斜坡整体稳定性、采场边坡稳定性、弃渣堆稳定性及地形地貌景观破坏等地质环境影响评价,划分治理重点、次重点和一般3个基本的矿山地质环境保护与恢复防治区.结果表明:矿山斜坡及弃渣堆现状基本稳
This paper is a subsequent work of[Invent.Math.,2013,191:197-253].The second fundamental theorem in Ahlfors covering surface theory is that,for each set Eq of q (≥ 3) distinct points in the extended complex plane(C),there is a minimal positive constant H0