The number of cubic surfaces with 27 lines over a finite field
نویسندگان
چکیده
We determine the number of cubic surfaces with 27 lines over a finite field $${{\mathbb {F}}}_q$$ . This is based on exploiting relationship between non-conical six-arcs in projective plane embedded three-space and lines. revisit this classical relationship, which goes back to work Clebsch nineteenth century. Our result can be used as an enumerative check for computer classification fields.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2021
ISSN: ['0925-9899', '1572-9192']
DOI: https://doi.org/10.1007/s10801-020-01009-3