2 citations · 4 across the 3 of their papers we have counts for
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Hirzebruch signature theorem on Hochschild homology, with applications to derived invariance of Hodge numbers
Roland Abuaf
We prove a refinement of Hirzebruch's signature formula on the individual Hochschild diagonals of a smooth projective complex variety. We construct natural non-degenerate Hermitian…
Holomorphic symplectic manifolds from semistable Higgs bundles
Roland Abuaf, Riccardo Carini
Let be the moduli space of semistable rank two and degree zero Higgs bundles on a smooth complex hyperelliptic curve of genus three. We prove that the q…
On the twisted octonionic eigenvalue problem and some sextics hypersurfaces related to the Cartan cubic
Roland Abuaf
We revisit the octonionic eigenvalue problem from a geometric perspective. In particular, we study a tautological sheaf defined on a sextic related to this problem, the Ogievetskiî…
Derived invariance of the numbers
Roland Abuaf
Let and be derived equivalent smooth projective varieties over the field of complex numbers. We prove that the numbers and are equal for a…
Gradings of Lie algebras, magical spin geometries and matrix factorizations
Roland Abuaf, Laurent Manivel
We describe a remarkable rank fourtenn matrix factorization of the octic Spin(14)-invariant polynomial on either of its half-spin representations. We observe that this representati…
Hodge numbers and Hodge structures for Calabi-Yau categories of dimension three
Roland Abuaf
Let be a smooth proper C-linear triangulated category Calabi-Yau of dimension 3 endowed with a (non-trivial) rank function. Using the homological unit of $\mathcal{A}…