42 citations · 328 across the 67 of their papers we have counts for
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Quantum cohomology of minuscule homogeneous spaces II : Hidden symmetries
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
We prove that the quantum cohomology ring of any minuscule or cominuscule homogeneous space, once localized at the quantum parameter, has a non trivial involution mapping Schubert…
Quantum cohomology of minuscule homogeneous spaces
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
We study the quantum cohomology of (co)minuscule homogeneous varieties under a unified perspective. We show that three points Gromov-Witten invariants can always be interpreted as…
Prime Fano threefolds and integrable systems
Atanas Iliev, Laurent Manivel
For a general K3 surface of genus g = 2,3,...,10, we prove that the intermediate jacobians of the family of prime Fano threefolds of genus g containing S as a hyperplane section, f…
Cubic hypersurfaces and integrable systems
Atanas Iliev, Laurent Manivel
We show that the family of 21-dimensional intermediate jacobians of cubic fivefolds containing a given cubic fourfold X is generically an algebraic integrable system. In the proof…
Generalizations of Strassen's equations for secant varieties of Segre varieties
J. M. Landsberg, L. Manivel
We define many new examples of modules of equations for secant varieties of Segre varieties that generalize Strassen's commutation equations. Our modules of equations are obtained…