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7 papers · 2 filters
Duality Theorem for Motives
Ivan Panin, Serge Yagunov
Using Dold--Puppe category approach to the duality in topology, we prove general duality theorem for the category of motives. As one of the applications of this general result we o…
Absolutely simple Prymians of trigonal curves
Yuri G. Zarhin
Using Galois Theory, we construct explicitly absolutely simple (principally polarized) Prym varieties that are not isomorphic to jacobians of curves even if we ignore the polarizat…
Derived categories of Fano threefolds
Alexander Kuznetsov
We consider the structure of the derived categories of coherent sheaves on Fano threefolds with Picard number 1 and describe a strange relation between derived categories of differ…
Two orbits: When is one in the closure of the other?
Vladimir L. Popov
Let be a connected linear algebraic group, let be a finite dimensional algebraic -module, and let , be two -orbits in . We describe a…
Birational geometry of singular Fano varieties
Aleksandr Pukhlikov
We prove divisorial canonicity of Fano hypersurfaces and double spaces of general position with elementary singularities.
On the equations for universal torsors over del Pezzo surfaces
Vera Serganova, Alexei Skorobogatov
We show that every split del Pezzo surface of degree d=5,4,3 or 2 has a universal torsor which is a dense open subset of the intersection of 6-d dilatations of the affine cone over…