【仿射曲线上微分算子环及其导出Artin代数刘海霞】.pdf

【仿射曲线上微分算子环及其导出Artin代数刘海霞】.pdf

Abstract The aim of+histhesis is toanswer Someguestioms abot differential operators on an affine Curve which are asked by Smith-stafford [51] and B3rown [16],and describe+he Newton polygom 4fan)acobian pair.In addition,we will show that some properties of modules ofrings of diferential operatoμp=bp11,gcd(m,n)=1,such that its basiC web is contained n a gua-drilateral with vertics(o,o),(a-b,o),(o,b),(a,b),where a>b>0,a+b=d.Furthermore,if+he directiom of the left edge of(a,b)is(0,1),+hen the other vertex is(a,b) with a>bbined with Lemma 36of[6].致谢 笔者在博士生学习阶段和完成博士论文的过程中,得到了得师到 绍学教授和付导师黄维明博士的悉心关怀,热情鼓励和日论文 的直接指寻,在比向他表示由衷的感谢.此外有杰博梦联刚博 士惠温常博士.章璞博士,王志玺博士汉热情邦财和有益交流,还有 同学周梦.