Abstract
In this paper we characterize the Blowing-up maps of ordinary singularities for which there exists a natural Gysin morphism, i.e. a bivariant class \(\theta \in Hom_{D(Y)}(R\pi _*\mathbb {Q}_X, \mathbb {Q}_Y)\), compatible with pullback and with restriction to the complement of the singularity.
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To the memory of Sacha.
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Di Gennaro, V., Franco, D. On the existence of a Gysin morphism for the Blow-up of an ordinary singularity. Ann Univ Ferrara 63, 75–86 (2017). https://doi.org/10.1007/s11565-016-0253-z
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DOI: https://doi.org/10.1007/s11565-016-0253-z
Keywords
- Bivariant theory
- Gysin morphism
- Blowing-up
- Derived category
- Borel-Moore Homology
- Isolated singularities
- Projective contractions