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4 papers
The Picard Group of Brauer-Severi Varieties
Eslam Badr, Francesc Bars, Elisa Lorenzo Garcia
In this note we provide explicit generators of the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular, for all Brauer-Severi surfaces. To pr…
Plane model-fields of definition, fields of definition, the field of moduli of smooth plane curves
Eslam Badr, Francesc Bars
Given a smooth plane curve of genus over an algebraically closed field , a field is said to be a \emph{plane model-f…
On the automorphism group of non-singular plane curves fixing the degree
Eslam Badr, Francesc Bars
This note is devoted, after the result of Harui, arXiv:1306.5842, to solve some natural questions for non-singular plane curves of degree over an algebraically closed field …
Classification of 1-Weierstrass points on Kuribayashi quartics, II (with three parameters)
Eslam E. Badr, Mohammed A. Saleem
In this paper, we classify the 1-Weierstrass points of the Kuribayashi quartic curves with three parameters and defined by the equation \[ C_{a,b,c}:x^{4}+y^{4}+z^{4}+a…