5 papers · 1 filter
Orbit counts and twist zeta functions of weighted projective stacks over finite fields
Sajad Salami, Tanush Shaska
Let be a finite field and a vector of positive integer weights. Several finite-field counts attached to the weighted projective space $…
Vojta's conjecture on weighted projective varieties
Sajad Salami, Tony Shaska
We formulate Vojta's conjecture for smooth weighted projective varieties, weighted multiplier ideal sheaves, and weighted log pairs and prove that all three versions of the conject…
Twists of Albanese varieties over function fields with large ranks
Abolfazl Mohajer, Sajad Salami
In this paper we construct abelian varieties of large Mordell-Weil rank over function fields. We achieve this by using a generalization of the notion of Prym variety to higher dime…
A correction to the paper "On Curves with Split Jacobian"
Sajad Salami
In [5], without giving a detailed proof, Yamauchi provided a formula to calculate the genus of a certain family of smooth complete intersection algebraic curves. That formula is us…
Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields
Sajad Salami
In [17], we proved a structure theorem on the Mordell-Weil group of abelian varieties over function fields that arise as the twists of abelian varieties by the cyclic covers of pro…