Calabi-Yau manifolds and related geometries

By Mark Gross, D. Joyce, D. Huybrechts, G. Ellingsrud, Kristian Ranestad, Loren D. Olson, S. A. Strømme. 2003

352 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1cbf302ba2be9b8e9891960a5c86e3c6ed275ff7

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Citations in the corpus

Lagrangian 3-torus fibrations (2006, background): “This three dimensional example is taken from [10] §19.”
The family Floer functor is faithful (2014, background): “We briefly recall the construction of an integral affine structure on Q induced by the symplectic structure on X (see [13] for an extended discussion geared toward mirror symmetry).”
Collapsing of abelian fibred Calabi-Yau manifolds (2011, result): “Then by results of Matsushita (see [26] and [16], Proposition 24.”
Symplectic involutions on deformations of K3[2] (2011, background): “Hyperkähler manifolds This subsection summarizes some facts about hyperkähler manifolds, the interested reader can consult [9].”
Abelian fibred holomorphic symplectic manifolds (2003, background): “Since birational maps between holomorphic symplectic manifolds are isomorphisms in codimension two (see for instance [22] or Huybrechts’ notes in [15]), there must be a corresponding divisor D′ in S([2]) and it is easy to see that D′ = {ξ ∈ S([2]) |w, y, and z are collinear, where {y, z} = g(supp(ξ)”
Projectivity and birational geometry of Bridgeland moduli spaces (2012, neutral): “This appeared in print in articles by Hassett–Tschinkel [27], Huybrechts [26], and Sawon [73], and had been proposed earlier (see [80]).”
Symplectic involutions of holomorphic symplectic four‐folds (2010, background): “Let us recall first of all the definition of irreducible holomorphic symplectic manifold; for all the details on this subject the reader may refer to [3] and to Part III of [11].”