On the BMY inequality on surfaces

Date

2021-08-01

Author

Terzi, Sadık

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In this paper, we are concerned with the relation between the ordinarity of surfaces of general type and the failure of the BMY inequality in positive characteristic. We consider semistable fibrations pi : S -> C where S is a smooth projective surface and C is a smooth projective curve. Using the exact sequence relating the locally exact differential forms on S, C, and S/C, we prove an inequality relating c(1)(2) and c(2) for ordinary surfaces which admit generically ordinary semistable fibrations. This inequality differs from the BMY inequality by a correcting term which vanishes if the fibration is ordinary.

URI

https://hdl.handle.net/11511/92443

Journal

COMMUNICATIONS IN ALGEBRA

DOI

https://doi.org/10.1080/00927872.2021.1967367

Collections

Department of Mathematics, Article

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Citation Formats

S. Terzi, “On the BMY inequality on surfaces,” COMMUNICATIONS IN ALGEBRA, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92443.