the method from algebraic geometry and algebraic topology have a effect on incidence combinatorics this years.espatialy on finite field case.there is some examples of the achievement follow this idea. Dvir-Finite Kakeya conjecture Guth-Katz-Erdos Distance problem there is a example with classical algebraic geometry,cubic curve in fact. Ben Green: $ P\subset R^2$,$ P$ is a set consist with n points. A k-rich line is a line in $ R^2$ which contain k points of $ P$ $ N_k=$#k-rich lines,$ k\ge…
