Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Viada, Evelina"'
Autor:
Pengo, Riccardo, Viada, Evelina
We provide two different proofs of an irreducibility criterion for the preimages of a transverse subvariety of a product of elliptic curves under a diagonal endomorphism of sufficiently large degree.For curves, we present an arithmetic proof of the a
Externí odkaz:
http://arxiv.org/abs/2310.20665
Autor:
Veneziano, Francesco, Viada, Evelina
Publikováno v:
Pacific J. Math. 315 (2021) 477-503
Let $C$ be an algebraic curve embedded transversally in a power $E^N$ of an elliptic curve $E$. In this article we produce a good explicit bound for the height of all the algebraic points on $C$ contained in the union of all proper algebraic subgroup
Externí odkaz:
http://arxiv.org/abs/2006.02538
Autor:
Viada, Evelina
We give an overview of some landmark theorems and recent conjectures in Diophantine Geometry. In the elliptic case, we prove some new bounds for torsion anomalous points and we clarify the implications of several height bounds on the effective Mordel
Externí odkaz:
http://arxiv.org/abs/1609.04607
Autor:
Viada, Evelina
Let C be a curve of genus at least 2 imbedded in a product of elliptic curves. We give an explicit upper bound for the points in the intersection of C with the union of all algebraic subgroups of a certain codimension. As a corollary we obtain an exp
Externí odkaz:
http://arxiv.org/abs/1609.04615
Publikováno v:
New York Journal of Mathematics, Volume 18 (2012) 891-910
We prove a sharp lower bound for the essential minimum of a non-translate variety in certain abelian varieties. This uses and generalises a result of Galateau. Our bound is a new step in direction of an abelian analogue by David and Philippon of a to
Externí odkaz:
http://arxiv.org/abs/1605.05198
Publikováno v:
Trans. Amer. Math. Soc. 369 (2017), 6465-6491
The Torsion Anomalous Conjecture states that an irreducible variety $V$ embedded in a semi-abelian variety contains only finitely many maximal $V$-torsion anomalous varieties. In this paper we consider an irreducible variety embedded in a product of
Externí odkaz:
http://arxiv.org/abs/1605.04801
Autor:
Checcoli, Sara, Viada, Evelina
Publikováno v:
Pacific Journal of Mathematics, Vol. 271 (2014), No. 2, 321-345
The Torsion Anomalous Conjecture (TAC) states that a subvariety V of an abelian variety A has only finitely many maximal torsion anomalous subvarieties. In this work we prove, with an effective method, some cases of the TAC when the ambient variety A
Externí odkaz:
http://arxiv.org/abs/1605.04081
Autor:
Hubschmid, Patrik, Viada, Evelina
The torsion anomalous conjecture states that for any variety V in an abelian variety there are only finitely many maximal V-torsion anomalous varieties. We prove this conjecture for V of codimension 2 in a product E^N of any elliptic curve E. This wa
Externí odkaz:
http://arxiv.org/abs/1604.05741
In this article we prove the explicit Mordell Conjecture for large families of curves. In addition, we introduce a method, of easy application, to compute all rational points on curves of quite general shape and increasing genus. The method bases on
Externí odkaz:
http://arxiv.org/abs/1602.04097
Publikováno v:
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 25 (2014), no. 1, 1--36
A deep conjecture on torsion anomalous varieties states that if $V$ is a weak-transverse variety in an abelian variety, then the complement $V^{ta}$ of all $V$-torsion anomalous varieties is open and dense in $V$. We prove some cases of this conjectu
Externí odkaz:
http://arxiv.org/abs/1204.1435