Geodesic
Formality of derived intersections
Documenta mathematica, Tome 19 (2014), pp. 1003-1016.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study derived intersections of smooth analytic cycles, and provide in some cases necessary and sufficient conditions for this intersection be formal. In particular, if $X$ is a complex submanifold of a complex manifold $Y$, we prove that $X$ can be quantized if and only if the derived intersection of $X^2$ and $\Delta_Y$ is formal in $\mathrm{D}^{\mathrm{b}}\bigl (X^2 \bigr)$.
Classification : 14C17, 14F05
Keywords: intersection theory, derived categories, quantized analytic cycles 
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     author = {Grivaux, Julien},
     title = {Formality of derived intersections},
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     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a12/}
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Grivaux, Julien. Formality of derived intersections. Documenta mathematica, Tome 19 (2014), pp. 1003-1016. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a12/