González Rovira, Josep - Search Results - UAB Digital Repository of Documents

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Articles, 5 records found Research literature, 1 records found

Articles	5 records found

21 p, 488.0 KB

The automorphism group of the modular curve X0* (N) with square-free level / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We determine the automorphism group of the modular curve X0* (N), obtained as the quotient of the modular curve X0(N) by the group of its Atkin-Lehner involutions, for all square-free values of N.
2021 - DOI (Digital Object Identifier)

10.1090/tran/8391
Transactions of the American Mathematical Society, Vol. 374 (April 2021)

Detailed record -

21 p, 511.5 KB

Bielliptic quotient modular curves with N square-free / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Kamel, Mohamed (Cairo University. Department of Mathematics (Egypt))
Let N ≥ 1 be an square free integer and let WN be a non-trivial subgroup of the group of the Atkin-Lehner involutions of X0(N) such that the modular curve X0(N)/WN has genus at least two. We determine all pairs (N,WN) such that X0(N)/WN is a bielliptic curve and the pairs (N,WN) such that X0(N)/WN has an infinite number of quadratic points over Q.
2020 - DOI (Digital Object Identifier)

10.1016/j.jnt.2020.03.010
Journal of Number Theory, Vol. 216 (November 2020) , p. 380-402

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16 p, 417.5 KB

Hyperelliptic parametrizations of Q -curves / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Xarles, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
For a square-free integer N, we present a procedure to compute Q-curves parametrized by rational points of the modular curve X0∗(N) when this is hyperelliptic.
2020 - DOI (Digital Object Identifier)

10.1007/s11139-020-00281-y
Ramanujan Journal, (July 2020)

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30 p, 515.7 KB

Bielliptic modular curves X0* (N) / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Let N ≥ 1 be a integer such that the modular curve X0* (N) has genus ≥ 2. We prove that X0* (N) is bielliptic exactly for 69 values of N. In particular, we obtain that X0* (N) is bielliptic over the base field for all these values of N, except X0*(160) that is not bielliptic over Q but it does over Q(√-1). [...]
2020 - DOI (Digital Object Identifier)

10.1016/j.jalgebra.2020.02.028
Journal of Algebra, Vol. 559 (October 2020) , p. 726-759

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20 p, 518.4 KB

Bielliptic modular curves X0* (N) with square-free levels / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Let N ≥ 1 be a square-free integer such that the modular curve X0*(N) has genus ≥ 2. We prove that X 0*(N) is bielliptic exactly for 19 values of N, and we determine the automorphism group of these bielliptic curves. [...]
2019 - DOI (Digital Object Identifier)

10.1090/mcom/3424
Mathematics of Computation, Vol. 88, Issue 320 (April 2019) , p. 2939-2957

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Research literature	1 records found

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