Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Salami, Sajad"'
Autor:
Salami, Sajad, Shaska, Tony
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 conjecture are equivalent. In the process, we introduce generalized weighted
Externí odkaz:
http://arxiv.org/abs/2309.10300
Autor:
Salami, Sajad, Zargar, Arman Shamsi
Let $k \subset {\mathbb C}$ be a number field and ${\mathcal E}$ be an elliptic curve that is isomorphic to the generic fiber of an elliptic surface defined over the rational function field $k(t)$ of the projective line ${\mathbb P}^1_k$. The set ${\
Externí odkaz:
http://arxiv.org/abs/2206.05372
Autor:
Salami, Sajad, Shaska, Tony
We investigate local and global weighted heights a-la Weil for weighted projective spaces via Cartier and Weil divisors and extend the definition of weighted heights on weighted projective spaces from arXiv:1902.06563 to weighted varieties and closed
Externí odkaz:
http://arxiv.org/abs/2204.01624
Autor:
Mohajer, Abolfazl, Salami, Sajad
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 dimensions and a structure theorem for the Mordell-Weil group of abelian v
Externí odkaz:
http://arxiv.org/abs/2105.05305
Autor:
Salami, Sajad, Zargar, Arman Shamsi
We introduce a new generalization of $\theta$-congruent numbers by defining the notion of rational $\theta$-parallelogram envelope for a positive integer $n$, where $\theta \in (0, \pi)$ is an angle with rational cosine. Then, we study more closely s
Externí odkaz:
http://arxiv.org/abs/2012.13471
Autor:
Salami, Sajad, Zargar, Arman Shamsi
A positive integer $N$ is called a $\theta$-congruent number if there is a $\ta$-triangle $(a,b,c)$ with rational sides for which the angle between $a$ and $b$ is equal to $\theta$ and its area is $N \sqrt{r^2-s^2}$, where $\theta \in (0, \pi)$, $\co
Externí odkaz:
http://arxiv.org/abs/2012.13451
Autor:
Salami, Sajad
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 used extensively in [1] to study the algebraic curves for which their Ja
Externí odkaz:
http://arxiv.org/abs/1907.09662
Autor:
Salami, Sajad
In this paper, we are going to calculate the determinant of a certain type of square matrices, which are related to the well-known Cauchy and Toeplitz matrices. Then, we will use the results to determine the rank of special non-square matrices.
Externí odkaz:
http://arxiv.org/abs/1907.08616
Autor:
Salami, Sajad
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 projective varieties in terms of the Prym varieties associated with cover
Externí odkaz:
http://arxiv.org/abs/1907.02650
Autor:
Salami, Sajad
In this paper, we consider Abelian varieties over function fields that arise as twists of Abelian varieties by cyclic covers of irreducible quasi-projective varieties. Then, in terms of Prym varieties associated to the cyclic covers, we prove a struc
Externí odkaz:
http://arxiv.org/abs/1708.01192