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  1. No Access

    Article

    Miyaoka-type inequalities for terminal threefolds with nef anti-canonical divisors

    In this paper, we study Miyaoka-type inequalities on Chern classes of terminal projective 3-folds with nef anti-canonical divisors. Let X be a terminal projective 3-fold such that −KX is nef. We show that if c1(X

    Masataka Iwai, Chen Jiang, Haidong Liu in Science China Mathematics (2024)

  2. No Access

    Article

    Positivity of extensions of vector bundles

    In this paper, we study when positivity conditions of vector bundles are preserved by extension. We prove that an extension of a big (resp. pseudo-effective) line bundle by an ample (resp. a nef) vector bundle...

    Sho Ejiri, Osamu Fu**o, Masataka Iwai in Mathematische Zeitschrift (2024)

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    Article

    On the global generation of direct images of pluri-adjoint line bundles

    We study the Fujita-type conjecture proposed by Popa and Schnell. We obtain an effective bound on the global generation of direct images of pluri-adjoint line bundles on the regular locus. We also obtain an ef...

    Masataka Iwai in Mathematische Zeitschrift (2020)