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On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle

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arxiv 2403.09120 v2 pith:D4Y5W363 submitted 2024-03-14 math.DG math.AG

Tomoyuki Hisamoto This is my paper · ORCID
classification math.DGmath.AG
keywords anti-canonicalbundleinequalitylinemanifoldsmiyaoka-yauassumingbound
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Based on the recent work of K.~Zhang, we discuss the Miyaoka-Yau type inequality for projective manifolds with nef anti-canonical line bundle, assuming the lower bound of the delta-invariant introduced by Fujita and Odaka.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors

    math.AG 2025-07 conditional novelty 7.0 of 10

    For projective klt varieties with big canonical or anticanonical divisor, the Miyaoka-Yau Chern class inequality holds when intersections are taken with the non-pluripolar product.

  2. Semipositivity of the orbifold second Chern class in Fujiki's class

    math.AG 2026-07 conditional novelty 6.0 of 10

    For compact normal analytic varieties in Fujiki's class, Miyaoka's inequality holds when the canonical divisor is nef, and the orbifold second Chern class is semipositive when the anti-canonical divisor is nef, under ...

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