围绕Gysin三角区II
Around the Gysin triangle II
摘要：
本文在一个涵盖任意基S上三角化混合模和MGL-模的公理化框架下研究了Gysin三角形的构造和性质。这允许定义Gysin态射与光滑S-方案之间的射影态射相关，并证明了投射光滑S-方案的对偶性。作为建设的一部分，协边类被认为是我们的背景下广义Myschenko定理的证明-这实际上是另一个证明后一个定理在经典稳定同伦通过复杂的实现。最后，这些构造通过D.- C.齐辛斯基和作者在另一部作品中。
英文摘要：
We study the construction and properties of the Gysin triangle in an axiomatic framework which covers triangulated mixed motives and MGl-modules over an arbitrary base S. This allows to define the Gysin morphism associated to a projective morphism between smooth S-schemes and prove duality for projective smooth S-schemes. As part of the construction, cobordism classes are considered and we give a proof of the Myschenko theorem generalized in our context - this in fact gives another proof of the latter theorem in classical stable homotopy through complex realization. Finally, these constructions apply to rigid cohomology through the notion of a mixed Weil theory introduced by D.-C. Cisinski and the author in another work.
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