Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Shahed Sharif"'
Publikováno v:
Journal of Number Theory. 228:276-293
By Dirichlet's Unit Theorem, under the log embedding the units in the ring of integers of a number field form a lattice, called the log-unit lattice. We investigate the geometry of these lattices when the number field is a biquadratic or cyclic cubic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::306cc9fe07368be4d572edffb3ed3545
https://doi.org/10.1016/j.jnt.2021.04.007
https://doi.org/10.1016/j.jnt.2021.04.007
Publikováno v:
Algebra & Number Theory. 15:711-727
We show that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map. Our results are motivated by and shed light on a proposed construction of a cryptographic protocol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32b6b9158221cacb752b772922dab93d
https://doi.org/10.2140/ant.2021.15.711
https://doi.org/10.2140/ant.2021.15.711
Publikováno v:
Iranica Journal of Energy and Environment, Vol 3, Iss 4, Pp 370-379 (2012)
A technique to quantify the leachate pollution potential of solid waste landfills on a comparative scale using an index known as the leachate pollution index (LPI) developed. The LPI is a quantitative tool by which the leachate pollution data of the
Externí odkaz:
https://doaj.org/article/d584dfb5e536458685286b8c23022bb1
Autor:
Lisa Berger, Chris Hall, Rene Pannekoek, Rachel Pries, Shahed Sharif, Alice Silverberg, Douglas Ulmer, Jennifer Park
The authors study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^r-1(x + 1)(x + t)$ over the function field $\mathbb F_p(t)$, when $p$ is prime and $r\ge 2$ is an integer prime to $p$. When $q$ is a powe
Autor:
Shahed Sharif, Daniel Krashen, Darren B. Glass, Alice Silverberg, Mark Zhandry, Dan Boneh, Mehdi Tibouchi, Kristin E. Lauter
Publikováno v:
Journal of Mathematical Cryptology, Vol 14, Iss 1, Pp 5-14 (2020)
We describe a framework for constructing an efficient non-interactive key exchange (NIKE) protocol for n parties for any n ≥ 2. Our approach is based on the problem of computing isogenies between isogenous elliptic curves, which is believed to be d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25f9357b414017ad7bf76056311c97d2
http://arxiv.org/abs/1807.03038
http://arxiv.org/abs/1807.03038
Autor:
Shahed Sharif
Publikováno v:
Journal of Algebra. 314(1):157-167
The index of a curve is the smallest positive degree of divisors which are rational over a fixed base field. The period is the smallest positive degree of divisor classes rational over the base field. Lichtenbaum proved certain divisibility condition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9e4916a089d149b3c3301fab91385a8
Autor:
Shahed Sharif
Given a curve C over a field K, the period of C / K is the gcd of degrees of K-rational divisor classes, while the index is the gcd of degrees of K-rational divisors. S. Lichtenbaum showed that the period and index must satisfy certain divisibility c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a66b69fecc703c1949eac610b1debf4a
http://arxiv.org/abs/1510.02839
http://arxiv.org/abs/1510.02839
Autor:
Lisa Berger, Chris Hall, René Pannekoek, Jennifer Park, Rachel Pries, Shahed Sharif, Alice Silverberg, Douglas Ulmer
Publikováno v:
Berger, L; Hall, C; Pannekoek, R; Park, J; Pries, R; Sharif, S; et al.(2017). Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. UC Irvine: Retrieved from: http://www.escholarship.org/uc/item/9jq2x3fq
We study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^{r-1}(x + 1)(x + t)$ over the function field $\mathbb{F}_p(t)$, when $p$ is prime and $r\ge 2$ is an integer prime to $p$. When $q$ is a power of $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df4d1f0cdbeacfc4e492c2e1a5bc72cf
http://arxiv.org/abs/1505.00021
http://arxiv.org/abs/1505.00021
Autor:
Shahed Sharif
Let $K$ be a local field of residue characteristic $p$. Let $C$ be a curve over $K$ whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to-$p$ rational torsion subgroup on th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca31a256330b3aa9c4cc171ba16604d6
http://arxiv.org/abs/1202.2891
http://arxiv.org/abs/1202.2891