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Orthogonally spherical objects and spherical fibrations
Orthogonally spherical objects spherical fibrations
2010/11/9
We introduce a relative version of the spherical objects of Seidel and Thomas. Define an object E in the derived category D(Z x X) to be spherical over Z if the corresponding functor from D(Z) to D(X)...
An object in the bounded derived category Db(X) of coherent sheaves on a complex projective K3 surface X is spherical if it is rigid and simple. Although spherical objects form only a discrete set in ...
A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects
Bloch-Beilinson conjecture K3 surfaces spherical objects
2010/12/10
For a projective K3 surface X over an algebraically closed field k let Db(X) denote the bounded derived category of coherent sheaves. Spherical objects, e.g. line bundles and rigid
stable bundles, pl...