• Sung Rak Choi, Subadditivity of Okounkov Bodies

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    Complex Geometry Seminar

         Speaker Sung Rak Choi Yonsei University We will investigate the subadditivity theorem of Okounkov bodies for algebraic fiber spaces. As an application, we obtain the subadditivity of the numerical Kodaira dimension and the restricted volume for algebraic fiber spaces. As a byproduct, we obtain a criterion of birational isotriviality in terms of Okounkov

  • Sung Rak Choi, On the Thresholds of Potential Pairs

    B266 IBS, Korea, Republic of
    Algebraic Geometry Seminar

         Speaker Sung Rak Choi Yonsei Univ. Choi-Park first introduced and develped the notion of potential pairs. The notion was designed to control the singularities of the outcome of the 'anticanonical' minimal model program. In this talk, after reviewing the properties of potnetial klt pairs, we examine the ACC property of the potential lc

  • Sung Rak Choi, Adjoint Asymptotic Multiplier Ideal Sheaves

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

        Speaker Sung Rak Choi Yonsei University In this talk, we define and study a triple called a potential triple which consists of a pair (X, Δ) and a polarizing pseudoeffective divisor D. To such a triple, we define a so-called potential multiplier ideal sheaf which gives a simultaneous generalization of the multiplier ideal