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  • Compact Kähler varieties with pseudo-effective tangent sheaf and a dynamical application

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

        Speaker Guolei Zhong East China Normal University Positivity properties of tangent sheaves are known to impose strong restrictions on the global geometry of projective varieties and, more generally, compact Kähler varieties. In this talk, after briefly reviewing the background, we will present several structural results for compact Kähler varieties with pseudo-effective tangent sheaf. …

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  • Models for elliptic surfaces with a bisection

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

        Speaker Sönke Rollenske Marburg University In the study of (relatively minimal) elliptic surfaces $f\colon S \to C$ with a section, the Weierstrass model plays an important role. We discuss two different models for elliptic surfaces with a bisection (or more generally an $f$-nef divisor which has degree two on the fibres): a birational …

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  • Compact complex parallelisable nilmanifolds with unobstructed deformations

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

        Speaker Sönke Rollenske Marburg University Compact quotients of non-abelian complex nilpotent Lie groups are non-Kähler manifolds with trivial canonical bundle, the most prominent example being the Iwasawa manifold. We give a precise characterisation of the (rare) cases where deformations of such manifolds are unobstructed in terms of so-called verbal ideals in free nilpotent …

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