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math.CV2026
Steenbrink vanishing theorem for big line bundles
Yuta Watanabe
In this paper, we generalize the Steenbrink vanishing theorem for ample line bundles on complex projective varieties by extending it to big line bundles on compact complex spaces w…
math.CV2026
Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces
Yuta Watanabe
In this paper, in order to develop a more general -theory for the -operator on complex spaces, we introduce appropriate notions of singular Griffiths/Naka…
math.CV2026
Global embeddings of weakly pseudoconvex complex spaces and refined Runge-type approximation theorems
Yuta Watanabe
Runge-type approximation principles for holomorphic sections of adjoint line bundles are known only for weakly pseudoconvex manifolds. In this paper, we establish a refined form of…