Webmore algebraic set-up, the geometric generic point of the curve, or of an Henselian trait), let Y s and Y t be the corresponding fibers. It is natural, and of fundamental importance, to compare the cohomology groups Hj(Y s,G Y s) and Hj(Y t,G Y t). One classical example, is the study of Lefschetz pen-cils. Web5 Algebra of Henselian Fields 5.1 Extensions of Henselian Valuations Our first goal is to give two alternative characterizations of being henselian. The first is that for any …
Henselian - Encyclopedia of Mathematics
WebIn the final section, Section 4, we propose a category over a Henselian trait which is an analogue of that of $\ell$ -adic sheaves, and show that our nearby/vanishing cycle … WebFeb 11, 2024 · Secondly, we give a ramification bound for the nearby cycle complex of an \'etale sheaf ramified along the special fiber of a regular scheme semi-stable over an equal characteristic henselian ... oracle 21c oracle_home
Web6. Comparison with vanishing cycles over a strictly henselian trait 36 7. Tame nearby cycles over A1 S and comparison with the étale version of Ayoub’s tame nearby cycles 37 8. Compatibility with tensor product and duality 39 9. Tame vanishing cycles over [A1 S/Gm,S] and monodromy invariant vanishing cycles 42 Appendix A. 47 References 50 ... Webwill be any strictly henselian trait with the generic point?v' the special poI nt sv' and an algebraic generic geometric point ii v; Xv will be a smooth projective scheme over 'l v of dimension N, and Xv: = Xv will be its geometric fiber; will be a prime char s. Let me start with the local intersection pairing. Let then one has its classes WebJun 13, 2024 · We have a henselian trait, η → S ← s If f: X → S is a (flat) morphism, then Grothendieck studied the nearby cycle functor R Ψ f and vanishing cycle functor R Φ f. … portsmouth police officer shooting