On the zero set of a holomorphic one-form on a compact complex manifold
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- by Michael J. Spurr PDF
- Trans. Amer. Math. Soc. 308 (1988), 329-339 Request permission
Abstract:
On any compact complex surface $M$, divisors of nonnegative self-intersection which are contained in the zero set (or in the integral set) of a holomorphic $1$-form are shown to induce a fibration of $M$ onto a Riemann surface. This result is extended to higher dimensions for $M$ projective. Applications to zero sets of holomorphic $1$-forms on surfaces are given.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 308 (1988), 329-339
- MSC: Primary 32J15; Secondary 32L10, 32L99
- DOI: https://doi.org/10.1090/S0002-9947-1988-0946446-3
- MathSciNet review: 946446