Publicações/ Publications

 

1. Elliptic fibrations on K3 surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus (joint with A. Garbagnati). submitted, Arxiv link (2018).

2. Lower bounds for the rank of families of abelian varieties under base change (joint with M. Hindry). to appear at Acta Arithmetica, Arxiv link (2017).

3. Elliptic fibrations on covers of the elliptic modular surface of level 5 (joint with F. Balastrieri, J. Desjardins, A. Garbagnati, C. Maistret, I. Vogt). , Accepted for publication at AWM series, Springer. Arxiv link (2017).

4. Linear systems on rational elliptic surfaces and elliptic fibrations on K3 surface (joint with A. Garbagnati). , accepted for publication at Journal of Pure and Applied Algebra, Arxiv link (2017).

5. A remark on topologies for rational point sets (joint with O. Lorscheid) , Journal of Number Theory v. 159, p. 193-201, 2016.

6. Classification on elliptic fibrations of a singular K3 surface (joint with M.J. Bertin, A. Garbagnati, R. Horstch, O. Lecacheux, M. Mase, U. Whitcher), Women in Numbers Europe: research directions in Number Theory. 1ed.Berlin: Springer Verlag, 2015, v. 2, p. 1-28.

7. Arithmetic and Geometry of rational elliptic surfaces , Rocky Mountain Journal of Math., upcoming in 2016.

8. Schemes as functors on topological rings (joint with O. Lorscheid), , Arxiv link (2014).

9. On the unirationality of del Pezzo surfaces of degree two (joint with D. Testa and A. Várilly-Alvarado), Journal of the London Math. Soc. p. 1-19 (2014) Arxiv link.

10. Density of rational points on del Pezzo surfaces of degree one (joint with R. van Luijk), Advances in Mathematics 261, p. 154-199 (2014) Arxiv link.

11. On the rank of the fibres of rational elliptic surfaces, Algebra and Number Theory, Volume 6, no. 7 (2012), Pages 1289-1313.

12. On the rank of the fibres of elliptic K3 surfaces, Bulletin of the Brazilian Mathematical Society, 2012, Volume 43, Number 1, Pages 7-16

13. Construction of linear pencils of cubics with Mordell Weil rank five, Comment. Math. Univ. Sancti Pauli 58, No2, 2010

14. Rang des surfaces elliptiques: théorèmes de comparaison thèse de doctorat - Paris VII, 2009

15. Rank of elliptic surfaces and base change, Compte Rendus Acad. Sci. 347- Mathématiques, 2009