2 citations · 4 across the 3 of their papers we have counts for
6 papers
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}…
On quartic double fivefolds and the matrix factorizations of exceptional quaternionic representations
Roland Abuaf
We study quartic double fivefolds from the perspective of Fano manifolds of Calabi-Yau type and that of exceptional quaternionic representations. We first prove that the generic qu…
Theorems on tangencies in projective and convex geometry
Roland Abuaf
We discuss various phenomena of tangency in projective and convex geometry.