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math.CV2025
Pluripotential geometry on semi-positive effective divisors of numerical dimension one
Takayuki Koike
We study the complex-analytic geometry of semi-positive holomorphic line bundles on compact Kähler manifolds. In one of our main results, for a -effective line bundle s…
math.CV2025
On neighborhoods of projective space bundles over elliptic curves
Takayuki Koike, Laurent Stolovitch
We give conditions ensuring that a neighborhood of an embedded projective space bundle over an elliptic curve is holomorphically equivalent to a neighborhood of the zero section of…