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Article overview
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Oriented bivariant theory II- Algebraic cobordism of $S$-schemes - | Shoji Yokura
; | Date: |
22 Dec 2017 | Abstract: | This is a sequel to our previous paper of oriented bivariant theory [14]. In
2001 M. Levine and F. Morel constructed algebraic cobordism $Omega_*(X)$ for
schemes $X$ over a field $k$ in an abstract way and later M. Levine and R.
Pandhairpande reconstructed it more geometrically. In this paper in a similar
manner we construct an algebraic cobordism $Omega^*(X xrightarrow {pi_X} S)$
for a scheme $X$ over a fixed scheme $S$ in such a way that if the target
scheme $S$ is the point $pt = operatorname{Spec} k$, then $Omega^{-i}(X
xrightarrow {pi_X} pt)$ is isomorphic to Levine-Morel’s algebraic cobordism
$Omega_i(X)$ | Source: | arXiv, 1712.8287 | Services: | Forum | Review | PDF | Favorites |
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