3 papers
math.RT2003
Tilting exercises
A. Beilinson, R. Bezrukavnikov, I. Mirkovic
This is an application of the theory of tilting objects to the geometric setting of perverse sheaves. We show that this theory is a natural framework for Beilinson's gluing of perv…
math.AG2001
-factors for Gauss-Manin determinants
Alexander Beilinson, Spencer Bloch, Hélène Esnault
This is the last version of AG/0111277. Here the old abstract: We define -factors in the de Rham setting and calculate the determinant of the Gauß-Manin connection for a family…
math.AG1998
Torelli theorem via Fourier-Mukai transform
Alexander Beilinson, Alexander Polishchuk
We show that the Fourier transform on the Jacobian of a curve interchanges " functions" at the curve and the theta divisor. The Torelli theorem is an immediate consequence.