컨텐츠 시작

학술대회/행사

초록검색

제출번호(No.) 0635
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