The sweep circle algorithm is based on the concept of wavefront developed by Dehne and Klein [Dehne, 1997]. In this case, because the sweep line is a site of the same nature as the sites being considered, we get an economy of scale for the objects to be treated. It uses the definition of a Voronoï diagram in projective geometry to simplify the treatment of the non-connected wavefront and vertex...

A Fano variety is a projective variety whose anticanonical class is ample. A 2–dimensional Fano variety is called a Del Pezzo surface. In higher dimensions, attention originally centered on smooth Fano 3–folds, but singular Fano varieties are also of considerable interest in connection with the minimal model program. The existence of Kähler–Einstein metrics on Fano varieties has also been explo...