Zobrazeno 1 - 10
of 199
pro vyhledávání: '"Irreducible symplectic varieties"'
We prove a general result on the existence of irreducible symplectic compactifications of non-compact Lagrangian fibrations. As an application, we show that the relative Jacobian fibration of cubic fivefolds containing a fixed cubic fourfold can be c
Externí odkaz:
http://arxiv.org/abs/2410.01566
Autor:
Brakkee, Emma, Camere, Chiara, Grossi, Annalisa, Pertusi, Laura, Saccà, Giulia, Viktorova, Sasha
Generalizing work of Markushevich--Tikhomirov and Arbarello--Sacc\`a--Ferretti, we use relative Prym varieties to construct Lagrangian fibered symplectic varieties in infinitely many dimensions. We then give criteria for when the construction yields
Externí odkaz:
http://arxiv.org/abs/2404.03157
Autor:
Saccà, Giulia
This article studies moduli spaces of Bridgeland semistable objects in the Kuznetsov component of a cubic fourfold that don't admit a symplectic resolution, i.e., moduli spaces of objects with non-primitve Mukai vector v=mv_0 that is not of OG10-type
Externí odkaz:
http://arxiv.org/abs/2304.02609
Autor:
Takamatsu, Teppei
Irreducible symplectic varieties are higher-dimensional analogues of K3 surfaces. In this paper, we prove the Shafarevich conjecture for irreducible symplectic varieties of fixed deformation class. We also observe that the second cohomological genera
Externí odkaz:
http://arxiv.org/abs/2201.00482
Autor:
Takamatsu, Teppei
Irreducible symplectic varieties are higher-dimensional analogues of K3 surfaces. In this paper, we prove the finiteness of twists of irreducible symplectic varieties via a fixed finite field extension of characteristic $0$. The main ingredient of th
Externí odkaz:
http://arxiv.org/abs/2106.11651
We prove several results concerning the intersection cohomology and the perverse filtration associated with a Lagrangian fibration of an irreducible symplectic variety. We first show that the perverse numbers only depend on the deformation equivalenc
Externí odkaz:
http://arxiv.org/abs/2108.02464
Akademický článek
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Autor:
Yang, Ziquan
Publikováno v:
Advances in Mathematics, 2023
We show that there is a good notion of irreducible sympelectic varieties of $\mathrm{K3}^{[n]}$-type over an arbitrary field of characteristic zero or $p > n + 1$. Then we construct mixed characteristic moduli spaces for these varieties. Our main res
Externí odkaz:
http://arxiv.org/abs/1911.05653
Zariski decomposition plays an important role in the theory of algebraic surfaces due to many applications. For irreducible symplectic manifolds Boucksom provided a characterization of his divisorial Zariski decomposition in terms of the Beauville-Bo
Externí odkaz:
http://arxiv.org/abs/1911.03367