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- W2972927500 abstract "In this thesis, we use the Clebsch map to construct cubic surfaces with twenty-seven lines in PG(3, q) from 6 points in general position in PG(2, q) for q = 17, 19, 23, 29, 31. We classify the cubic surfaces with twenty-seven lines in three dimensions (up to e- invariants) by introducing computational and geometrical procedures for the classi- fication. All elliptic and hyperbolic lines on a non-singular cubic surface in PG(3, q) for q = 17, 19, 23, 29, 31 are calculated. We define an operation on triples of lines on a non-singular cubic surface with 27 lines which help us to determine the exact value of the number of Eckardt point on a cubic surface. Moreover, we discuss the irreducibil- ity of classes of smooth cubic surfaces in PG(19, C), and we give the corresponding codimension of each class as a subvariety of PG(19, C)." @default.
- W2972927500 created "2019-09-19" @default.
- W2972927500 creator A5032939749 @default.
- W2972927500 date "2019-01-01" @default.
- W2972927500 modified "2023-09-26" @default.
- W2972927500 title "Classification of Non-Singular Cubic Surfaces up to e-invariants" @default.
- W2972927500 hasPublicationYear "2019" @default.
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