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5 papers · 2 filters
Towards a modular construction of OG10
Alessio Bottini
We construct the first example of a stable hyperholomorphic vector bundle of rank five on every hyper-Kähler manifold of -type whose deformation space is smooth…
Action of the automorphism group on the Jacobian of Klein's quartic curve II: Invariant theta functions
Dimitri Markushevich, Anne Moreau
Bernstein-Schwarzman conjectured that the quotient of a complex affine space by an irreducible complex crystallographic group generated by reflections is a weighted projective spac…
Symplectic rigidity of O'Grady's tenfolds
Luca Giovenzana, Annalisa Grossi, Claudio Onorati +1
We prove that any symplectic automorphism of finite order of an irreducible holomorphic symplectic manifold of O'Grady's 10-dimensional deformation type is trivial.
On algebraically coisotropic submanifolds of holomorphic symplectic manifolds
Ekaterina Amerik, Frédéric Campana
We investigate algebraically coisotropic submanifolds in a holomorphic symplectic projective manifold . Motivated by our results in the hypersurface case, we raise the follo…
Sur les espaces homogènes de Borovoi-Kunyavski\uı
Nguyen Manh Linh
We establish the Hasse principle and the weak approximation property for certain homogeneous spaces of whose geometric stabilizer is of nilpotency class 2, which we…