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4 papers · 2 filters
Logarithmic bundles and Line arrangements, an approach via the standard construction
Daniele Faenzi, Jean Vallès
We propose an approach to study logarithmic sheaves T(-log A) associated with a hyperplane arrangements A on the projective space, based on projective duality, direct image functor…
A Poncelet theorem for lines
Jean Vallès
Our aim is to prove a Poncelet type theorem for a line configuration on the complex projective. More precisely, we say that a polygon with 2n sides joining 2n vertices A1, A2,...,…
A vector bundle proof of Poncelet theorem
Jean Vallès
In the town of Saratov where he was prisonner, Poncelet, continuing the work of Euler and Steiner on polygons simultaneously inscribed in a circle and circumscribed around an other…
On the derived category of the Cayley plane II
Daniele Faenzi, Laurent Manivel
We find a full strongly exceptional collection for the Cayley plane OP2, the simplest rational homogeneous space of the exceptional group E6. This collection, closely related to th…