Fourier-Mukai transforms in algebraic geometry

By D. Huybrechts. 2006

994 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5057dfac5840c06f414c61b254f9b95b359d94ed

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Semi-orthogonal decomposability of the derived category of a curve (2011, background): “en partially conﬁrmed) that we can understand the minimal model program (MMP for short) in terms of the semi-orthogonal decompositions (SOD for short) of the derived category of coherent sheaves (see [H] for the deﬁnition of derived categories of sheaves and SODs). To be precise we expect that we ca”
Orlov spectra: bounds and gaps (2010, background): “Since Coh E is hereditary, all complexes are isomorphic to their cohomology, (see for example [24]).”
Affine braid group actions on derived categories of Springer resolutions (2011, neutral): “Statement (2) implies that its canonical sheaf is OZs(−ρ, ρ−α) (see [Huy]).”
Knot homology via derived categories of coherent sheaves II, $\mathfrak{sl}_{m}$ case (2007, background): “1 of [Hu] for more details regarding Fourier-Mukai kernels and transforms.”
Knot homology via derived categories of coherent sheaves I, sl(2) case (2007, background): “2 of [H] we know H(ii∗F) ∼= ∧N S/T ⊗ F where NS/T is the normal bundle of S in T .”
A tour about existence and uniqueness of dg enhancements and lifts (2016, background): “The relevance of these functors has been explained in [12] (see also [26] for a systematic analysis of their main geometric applications).”
Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions (2009, background): “In particular, this means that G is a spherical functor, a notion due (in varying levels of generality) to Seidel-Thomas [ST], Horja [Hu], Anno [A], and Rouquier [R2].”