Groups and noncommutative algebra: interactions and applications
Finite geometry, Algebraic curves and Applications to Coding Theory
Rational points and automorphisms on algebraic curves over finite fields
| Full text | |
| Author(s): |
Cunha, Gregory Duran
Total Authors: 1
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| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 222, n. 10, p. 2964-2974, OCT 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
In the projective plane PG(2, q) over a finite field of order q, a Tallini curve is a plane irreducible (algebraic) curve of (minimum) degree q + 2 containing all points of PG(2, q). Such curves were investigated by G. Tallini {[}8,9] in 1961, and by Homma and Kim {[}5] in 2013. Our results concern the automorphism groups, the Weierstrass semigroups, the Hasse-Witt invariants, and quotient curves of the Tallini curves. (C) 2017 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 15/10181-8 - Automorphism group of multi-Frobenius nonclassical curves |
| Grantee: | Grégory Duran Cunha |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |