Stability conditions on product varieties


主讲人:刘昱成,Northeastern University




内容介绍:We will review the Bridgeland's definition of stability conditions and Abramovich and Polihchuck's construction of global heart. Then we will construct a natural polynomial stability function associated with the global heart constructed by Abramovich and Polishchuk. Then we use the HN structures of this polynomial to refine the positivity lemma established by Bayer and Macri. These results will allow us to construct a rational stability condition on Db(Coh(X×C)) from a rational stability condition on Db(CohX), where C is a smooth projective curve.