Editorial Material
Ludmil Katzarkov; Tony Pantev; Yuri Tschinkel; Yuri Zarhin — 2011
Open Mathematics
Editorial Material
Homological Mirror Symmetry for manifolds of general type
In this paper we outline the foundations of Homological Mirror Symmetry for manifolds of general type. Both Physics and Categorical prospectives are considered.
Determinantal Barlow surfaces and phantom categories
We prove that the bounded derived category of the surface constructed by Barlow admits a length 11 exceptional sequence consisting of (explicit) line bundles. Moreover, we show that in a small neighbourhood of in the moduli space of determinantal Barlow surfaces, the generic surface has a semiorthogonal decomposition of its derived category into a length 11 exceptional sequence of line bundles and a category with trivial Grothendieck group and Hochschild homology, called a phantom category....
Singular Lefschetz pencils.
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