Cecília Salgado's research papers

• An overview on Mordell-Weil rank jumps for fibers of elliptic surfaces,

to appear at ZAG Handbook of Modern Algebraic Geometry edited by Cheltsov and Martinez-Garcia, Chapman and Hall/CRC - 2025

• Tate-Shafarevich results for quartic twists in characteristic 2 (with H. Borges, J.P. Guardieiro, J. Top) - 2024.

submitted

• Elliptic fibrations and involutions on K3 surfaces (with A. Garbagnati) - 2023.

accepted for publication in Proceedings of the Women in Numbers IV conference, Research directions in Number Theory, Springer

• Non-thin rank jumps for elliptic K3 surfaces (with H. Pasten) - 2024.

accepted for publication at Manuscripta Math.

• Large rank jumps on elliptic surfaces and the Hilbert property (with R. Dias Costa) - 2022.

to appear at Mathematical Research Letters (2023).

• Genus 1 fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4 (with V. Mitankin)

online at Journal of Number Theory (2022).

• Locally recoverable codes on surfaces, (with A. Várilly-Alvarado and J.F. Voloch)

IEEE, Transactions on Information Theory, 69 (2021), 5765-5777.

• Rank jumps on elliptic surfaces and the Hilber property, (with D. Loughran)

Annales de l'Institut Fourier 72(2), 617-638 (2022).

• Rational points on del Pezzo surfaces of degree four (with V. Mitankin)

International Journal of Number Theory 18 (9) (2022).

• Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces, (with V. Cantoral-Farfán, A. Garbagnati, A. Trbovic, R. Winter)

Women in Numbers Europe III, AWMS 24, (2021) 171- 205.

• Elliptic Fibrations on K3 surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus, (with A. Garbagnati)

Rev. Mat. Iberoam. 36 (2020), 1167-1206.

• Linear systems on rational elliptic surfaces and elliptic fibrations on K3 surfaces", (with A. Garbagnati)

J. Pure Appl. Algebra 223 (2019), no. 1, 277–300.

• Lower bounds for the rank of families of abelian varieties under base change, (with M. Hindry)

Acta Arithmetica 189 (2019), 263-282.

• Elliptic fibrations on covers of the elliptic modular surface of level 5, (with F. Balestrieri, J. Desjardins, A. Garbagnati, C. Maistret)

Women in Numbers Europe II - Contributions to Number Theory and Arithmetic Geometry, AWM 11, Springer (2018), 159-197.

• A remark on topologies for rational point sets, (with O. Lorscheid)

Journal of Number Theory 159 (2016), 193-201.

• Schemes as functors on topological rings, (with O. Lorscheid)

preprint (2016)

• Classifications of elliptic fibrations of a singular K3 surface, (with M.J. Bertin, A. Garbagnati, O. Lecacheux, M. Mase, R. Hortsch, U. Whitcher)

Women in Numbers Europe - Contributions to Number Theory and Arithmetic Geometry, AWM 1, Springer (2016), 17-49

• On the Unirationality of del Pezzo surfaces of degree two, (with A. Várilly-Alvarado and D. Testa)

Journal of the London Math. Soc. 90, (2014), 121-139

• Density of rational points on del Pezzo surfaces of degree one, (with R. van Luijk)

Advances Math., 261(2014), 154-199

• On the rank of the fibers of elliptic K3 surfaces,

Bulletin Braz. Math. Soc. 43 (2012), 7-16

• On the rank of the fibres of rational elliptic surfaces,

Algebra and Number Theory 6 (2012), 1289-1314

• Construction of linear pencils of cubics with Mordell–Weil rank five,

Comm. Math. Sancti Pauli 58. no.2 (2009), 95-104

• Rank of elliptic surfaces and base change,

Compte Rendus Acad. Sciences Math. 347 (2009), 129-132