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We survey recent results about the Torelli question for holomorphic-symplectic varieties.
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Sawon, J.: Lagrangian fibrations on Hilbert schemes of points on K 3 K3 surfaces
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2001
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Iliev, A., Ranestad, K.: K 3 K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds
2001
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Markman, E.: Brill-Noether duality for moduli spaces of sheaves on K 3 K3 surfaces
2001
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Namikawa, Yoshinori: Deformation theory of singular symplectic n n -folds
2001
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Yoshioka, K.: Moduli spaces of stable sheaves on abelian surfaces
2001
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Markman, E.: Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces
2002
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Dolgachev, I.: Reflection groups in algebraic geometry
2008
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Markman, E.: On the monodromy of moduli spaces of sheaves on K3 surfaces
2008
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Rapagnetta, A.: On the Beauville form of the known irreducible symplectic varieties
2008
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Druel, S.: Quelques remarques sur la decomposition de Zariski divisorielle sur les varietes dont la premire classe de Chern est nulle
2009
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Hassett, B., Tschinkel, Y.: Moving and ample cones of holomorphic symplectic fourfolds
2009
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Hassett, B., Tschinkel, Y.: Monodromy and rational curves on holomorphic symplectic fourfolds
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Huybrechts, D.: The global Torelli theorem: classical, derived, twisted
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Gritsenko, V.; Hulek, K.; Sankaran, G.K.: Moduli spaces of irreducible symplectic manifolds
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Huybrechts, D, Lehn, M.: The geometry of moduli spaces of sheaves
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Huybrechts, D., Nieper-Wisskirchen, N.: Remarks on derived equivalences of Ricci-flat manifolds
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Huybrechts, D.: A global Torelli Theorem for hyperkähler manifolds,
2010
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Markman, E.: Integral constraints on the monodromy group of the hyperkähler resolution of a symmetric product of a K 3 K3 surface
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Markman, E.: Modular Galois covers associated to symplectic resolutions of singularities
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Prendergast-Smith, A.: The cone conjecture for abelian varieties
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Totaro, B.: The cone conjecture for Calabi-Yau pairs in dimension 2
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Verbitsky, M.: HyperKähler SYZ conjecture and semipositive line bundles
2010
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Matsushita, D.: On deformations of Lagrangian fibrations
2098
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