摘要 | 第1-6页 |
Abstract | 第6-9页 |
Chapter 1 Introduction | 第9-23页 |
·Abbes and Saito's ramification theory | 第9-15页 |
·Ramification and nearby cycles for l-adic sheaves on relative curves | 第15-18页 |
·Refined characteristic class and conductor formula | 第18-23页 |
Chapter 2 Ramification and nearby cycles for l-adic sheaves on relative curves | 第23-71页 |
·Notation | 第23-24页 |
·Kato's Swan conductors with differential values | 第24-30页 |
·Abbes-Saito's ramification theory | 第30-35页 |
·Ramification of extensions of type(Ⅱ) | 第35-40页 |
·Tubular neighborhoods and normalized integral models | 第40-42页 |
·Isogenies associated to extensions of type(Ⅱ):the equal characteristic case | 第42-49页 |
·Isogenies associated to extensions of type(Ⅱ):the unequal characteris-tic case | 第49-59页 |
·The refined Swan conductor of an extension of type(Ⅱ) | 第59-62页 |
·Comparison of Kato's and Abbes-Saito's characteristic cycles | 第62-67页 |
·Nearby cycles of l-adic sheaves on relative curves | 第67-71页 |
Chapter 3 Refined characteristic class and conductor formula | 第71-116页 |
·Notation | 第71-72页 |
·Prelimin aries on etale cohomology | 第72-78页 |
·Cohomological correspondences | 第78-85页 |
·Ramification of l-adic sheaves | 第85-91页 |
·Clean l-adic sheaves and characteristic cycles | 第91-99页 |
·Tsushima's refined characteristic class | 第99-105页 |
·The conductor fomula | 第105-116页 |
Bibliography | 第116-120页 |
致谢 | 第120-122页 |
个人简历与科研成果 | 第122页 |