• Birational contractions of \(\overline{\mathrm{M}}_{g,n}\) and their dependence on the characteristic

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Daebeom Choi University of Pennsylvania In this talk, we discuss the existence and nonexistence of certain birational contractions of \(\overline{\mathrm{M}}_{g,n}\). Somewhat surprisingly, this depends on the characteristic of the base field: many such contractions exist only in positive characteristic. We present a precise form of this phenomenon and discuss two examples that