Siman Wong

activity

20012005

most citedSpecializations of one-parameter families of polynomials

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2005

On torsion sections of elliptic fibrations

Siman Wong

Let E be an elliptic curve over the function field Q(t). Suppose that for every number field L\not=Q and every element tau\in L such that the specialization E_tau is smooth, the cu…

math.NT2004★ 1 cited

Specializations of one-parameter families of polynomials

Farshid Hajir, Siman Wong

Let K be a number field, and let lambda(x,t)\in K[x, t] be irreducible over K(t). Using algebraic geometry and group theory, we study the set of alpha\in K for which the specialize…

math.NT2003

Moments of the rank of elliptic curves

Siman Wong

Fix an elliptic curve $E/\Q$, and assume the generalized Riemann hypothesis for the $L$ -function $L (E_{D}, s)$ for every quadratic twist $E_{D}$ of $E$ by $D \in Z$ . We combine Weil's…

math.NT2003

Fiber products of hyperelliptic curves

Siman Wong

Let $k$ be a number field, and let $S$ be a finite set of maximal ideals of the ring of integers of $k$ . In his 1962 ICM address, Shafarevich asked if there are only finitely many…

math.NT2001

`Abstract' homomorphisms of l-adic Galois groups and Abelian varieties

Siman Wong

Let $k$ be a totally real field, and let $A / k$ be an absolutely irreducible, polarized Abelian variety of odd, prime dimension whose endomorphisms are all defined over $k$ . Then th…

math.NT2001

On the Neron-Severi groups of fibered varieties

Siman Wong

We apply Tate's conjecture on algebraic cycles to study the Néron-Severi groups of varieties fibered over a curve. This is inspired by the work of Rosen and Silverman, who carry ou…