컨텐츠 시작
학술대회/행사
초록검색
제출번호(No.) | 0635 |
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분류(Section) | Plenary Lecture |
분과(Session) | |
영문제목 (Title(Eng.)) |
Wild ramification and the cotangent bundle |
저자(Author(s)) |
Takeshi Saito1 University of Tokyo1 |
초록본문(Abstract) | Following an analogy with D-modules, we introduce the characteristic cycle of an l-adic sheaf on a smooth variety of characteristic $p>0$ with wild ramification along the boundary, as a cycle on the cotangent bundle, under a certain condition. The construction is compatible with the pull-back by non-characteristic morphisms and is characterized by the restrictions to curves meeting the boundary transversely. Further it controls the nearby cycles and computes the Euler characteristic. The construction is based on a groupoid structure of partial blow-up of the self product at the ramification divisor embedded diagonally. |
분류기호 (MSC number(s)) |
14F20, 14B25, 14G17, 11G25 |
키워드(Keyword(s)) | l-adic sheaves, characteristic cycle |
강연 형태 (Language of Session (Talk)) |
English |