Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Shamil Asgarli"'
Publikováno v:
manuscripta mathematica. 171:371-375
Autor:
SHAMIL ASGARLI, DRAGOS GHIOCA
We study plane curves over finite fields whose tangent lines at smooth $\mathbb{F}_q$-points together cover all the points of $\mathbb{P}^2(\mathbb{F}_q)$.
13 pages
13 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a62f9ba69da550aa500a4146649d6a53
http://arxiv.org/abs/2302.13420
http://arxiv.org/abs/2302.13420
Autor:
Shamil Asgarli, Dragos Ghioca
We study pencils of hypersurfaces over finite fields $\mathbb{F}_q$ such that each of the $q+1$ members defined over $\mathbb{F}_q$ is smooth.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2dc75a1656a617dfed39bf983c999e74
Let $K$ be a finitely generated field. We construct an $n$-dimensional linear system $\mathcal{L}$ of hypersurfaces of degree $d$ in $\mathbb{P}^n$ defined over $K$ such that each member of $\mathcal{L}$ defined over $K$ is smooth, under the hypothes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::579fd62be892b2f7578a51b74559aafd
We prove that a family of pseudo-Paley graphs of square order obtained from unions of cyclotomic classes satisfies the Erd\H{o}s-Ko-Rado (EKR) module property, in a sense that the characteristic vector of each maximum clique is a linear combination o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3935a8ae1d2c023432bce608fe11edea
Autor:
Shamil Asgarli, Giovanni Inchiostro
Publikováno v:
Transactions of the American Mathematical Society. 372:3319-3346
We study the moduli space of smooth complete intersections of two quadrics in $\mathbb{P}^n$ by relating it to the geometry of the singular members of the corresponding pencils. Giving an alternative presentation for the moduli space of complete inte
Autor:
Shamil Asgarli, Chi Hoi Yip
A well-known conjecture due to van Lint and MacWilliams states that if $A$ is a subset of $\mathbb{F}_{q^2}$ such that $0,1 \in A$, $|A|=q$, and $a-b$ is a square for each $a,b \in A$, then $A$ must be the subfield $\mathbb{F}_q$. This conjecture is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b15c0096370093b593e2d135fe4b48a
Autor:
Shamil Asgarli, Brian Freidin
We study the asymptotic proportion of smooth plane curves over a finite field $\mathbb{F}_q$ which are tangent to every line defined over $\mathbb{F}_q$. This partially answers a question raised by Charles Favre. Our techniques include applications o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ccc3baf27f75d86296d51a44d35afcb
http://arxiv.org/abs/2009.13421
http://arxiv.org/abs/2009.13421
We study the birational self-maps of the projective plane over finite fields that induce permutations on the set of rational points. As a main result, we prove that no odd permutation arises over a non-prime finite field of characteristic two, which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5845d62f979e2aefff3b0bd255ea494
http://arxiv.org/abs/1910.05302
http://arxiv.org/abs/1910.05302
Autor:
Shamil Asgarli
Publikováno v:
The American Mathematical Monthly. 125:549-553
We give an elementary proof of Warning's second theorem on the number of solutions to the system of polynomial equations over finite fields.