42 citations · 328 across the 67 of their papers we have counts for
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Triangulations and Severi varieties
Frédéric Chapoton, Laurent Manivel
We consider the problem of constructing triangulations of projective planes over Hurwitz algebras with minimal numbers of vertices. We observe that the numbers of faces of each dim…
Quantum cohomology and the Satake isomorphism
V. Golyshev, L. Manivel
We prove that the geometric Satake correspondence admits quantum corrections for minuscule Grassmannians of Dynkin types and . We find, as a corollary, that the quantum conn…
Fano manifolds of Calabi-Yau type
Atanas Iliev, Laurent Manivel
We introduce and we study a class of odd dimensional compact complex manifolds whose Hodge structure in middle dimension looks like that of a Calabi-Yau threefold. We construct sev…
On cubic hypersurfaces of dimension seven and eight
Atanas Iliev, Laurent Manivel
Cubic sevenfolds are examples of Fano manifolds of Calabi-Yau type. We study them in relation with the Cartan cubic, the -invariant cubic in $\PP^{26}$. We show that a generic…