Bott vanishing for elliptic surfaces

نویسندگان

چکیده

We explore Bott Vanishing for elliptic surfaces over $${\mathbb {P}}^1$$ . show that is significantly affected by the geometric properties of fibers. For example, whether there exist certain types singular fibers on fibration such as cuspidal an ample line bundle surface with large self-intersection, these give criteria Vanishing.

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2021

ISSN: ['1432-1823', '0025-5874']

DOI: https://doi.org/10.1007/s00209-021-02850-3