Plane algebraic curves with Singer automorphisms |
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| Authors: | A Cossidente A Siciliano |
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| Institution: | Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana, 85100 Potenza, Italy |
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| Abstract: | Non-singular plane algebraic curves over  with a Singer group of PGL(3,q) in their automorphism group are classified. Apart from three distinguished points, the set of  -rational points of such curves can be partitioned into 2−(q2+q+1,q+1,1) designs each isomorphic to the finite projective plane  . |
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| Keywords: | Fermat quotient curve Singer cycle Rational points |
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