Classification of Symplectic Birational Involutions of Manifolds of type

L Marquand, S Muller - arXiv preprint arXiv:2206.13814, 2022 - arxiv.org
In this paper we give a classification of symplectic birational involutions of manifolds of $
OG10 $-type. We approach this classification with three techniques-via involutions of the …

Terminalizations of quotients of compact hyperk\" ahler manifolds by induced symplectic automorphisms

V Bertini, A Grossi, M Mauri, E Mazzon - arXiv preprint arXiv:2401.13632, 2024 - arxiv.org
Terminalizations of symplectic quotients are sources of new deformation types of irreducible
symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 …

Symplectic rigidity of O'Grady's tenfolds

L Giovenzana, A Grossi, C Onorati, D Veniani - Proceedings of the …, 2024 - ams.org
Symplectic rigidity of O’Grady’s tenfolds Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 152, Number 7, July 2024, Pages 2813–2820 https://doi.org/10.1090/proc/16810 …

O'Grady tenfolds as moduli spaces of sheaves

C Felisetti, F Giovenzana, A Grossi - Forum of Mathematics, Sigma, 2024 - cambridge.org
We give a lattice-theoretic characterization for a manifold of type associated to any smooth
cubic fourfold. Moreover, we determine when a birational transformation is induced by an …

Finite groups of symplectic birational transformations of IHS manifolds of type

L Marquand, S Muller - arXiv preprint arXiv:2310.06580, 2023 - arxiv.org
We classify finite groups that act faithfully by symplectic birational transformations on an
irreducible holomorphic symplectic (IHS) manifold of $ OG10 $ type. In particular, up to …

Non-symplectic automorphisms of prime order of O'Grady's tenfolds and cubic fourfolds

S Billi, A Grossi - arXiv preprint arXiv:2405.05932, 2024 - arxiv.org
We give a lattice-theoretic classification of non-symplectic automorphisms of prime order of
irreducible holomorphic symplectic manifolds of OG10 type. We determine which …

Nonsymplectic automorphisms of prime order on O'Grady's sixfolds

A Grossi - Revista matemática iberoamericana, 2022 - ems.press
We classify nonsymplectic automorphisms of prime order on irreducible holomorphic
symplectic manifolds of O'Grady's 6-dimensional deformation type. More precisely, we give a …

Induced birational transformations on O'Grady's sixfolds

A Grossi - Journal of the London Mathematical Society, 2022 - Wiley Online Library
We introduce the notion of induced birational transformations of irreducible holomorphic
symplectic sixfolds of the sporadic deformation type discovered by O'Grady. We give a …

Automorphisms of Nikulin-type orbifolds

S Brandhorst, G Menet, S Muller - arXiv preprint arXiv:2411.04668, 2024 - arxiv.org
Symplectic Automorphisms Nikulin Orbifolds Page 1 arXiv:2411.04668v1 [math.AG] 7 Nov
2024 Automorphisms of Nikulin-type orbifolds Simon Brandhorst brandhorst@math.uni-sb.de …

SYMPLECTIC ACTION OF GROUPS OF ORDER FOUR ON K3 SURFACES AND K3^[2]-TYPE MANIFOLDS

B Piroddi - 2024 - tesidottorato.depositolegale.it
An irreducible holomorphic symplectic (IHS) manifold is a compact, simply connected
complex manifold X such that H^{2, 0}(X)= CCω_X, where ω_X is a symplectic (nowhere …