Zobrazeno 1 - 10
of 70
pro vyhledávání: '"14H45 (secondary)"'
In this paper, we explore when the Betti numbers of the coordinate rings of a projective monomial curve and one of its affine charts are identical. Given an infinite field $k$ and a sequence of relatively prime integers $a_0 = 0 < a_1 < \cdots < a_n
Externí odkaz:
http://arxiv.org/abs/2405.15634
Autor:
Hidalgo, Ruben A.
The explicit computation of the field of moduli of a closed Riemann surface is, in general, a difficult task. In this paper, for each even integer $k \geq 2$, we consider a suitable $2$-real parameter family of non-hyperelliptic pseudo-real Riemann s
Externí odkaz:
http://arxiv.org/abs/2401.05287
Autor:
Laga, Jef, Shnidman, Ari
We show that the Ceresa cycle $\kappa(C_t)$ of the genus $3$ curve $C_t \colon y^3 = x^4 + 2tx^2 + 1$ is torsion if and only if $Q_t=( \sqrt[3]{t^2 -1},t)$ is a torsion point on the elliptic curve $y^2 = x^3 + 1$. This shows that there are infinitely
Externí odkaz:
http://arxiv.org/abs/2312.12965
Autor:
Dewer, Bruno
We investigate the Gorenstein weighted projective spaces of dimension 3. Given such a space $\mathbf P$, our first focus is its maximal extension in its anticanonical model $\mathbf P \subset \mathbf P^{g+1}$, i.e., the variety $Y\subset \mathbf P^{g
Externí odkaz:
http://arxiv.org/abs/2303.01882
Autor:
Beorchia, Valentina, Brundu, Michela
The present paper concerns the question of the violation of the r-th inequality for extremal curves in the projective r-space, posed by T. Kato and G. Martens. We show that the answer is negative in many cases. The result is obtained by a detailed an
Externí odkaz:
http://arxiv.org/abs/2205.13318
Autor:
Mezroui, Soufiane
By using a new formula of cubing ideals in imaginary quadratic number and function fields combined with Shank's NUCOMP algorithm, Imbert et al. presented a fast algorithms that compute a reduced output of cubing ideals and keep the sizes of the inter
Externí odkaz:
http://arxiv.org/abs/2112.00618
Autor:
Saini, Rijul
Let $\mathfrak B_g$ denote the moduli space of primitively polarized $K3$ surfaces $(S,H)$ of genus $g$ over $\mathbb C$. It is well-known that $\mathfrak B_g$ is irreducible and that there are only finitely many rational curves in $|H|$ for any prim
Externí odkaz:
http://arxiv.org/abs/2011.10181
Autor:
Opper, Sebastian
This paper studies the class of spherical objects over any Kodaira $n$-cycle of projective lines and provides a parametrization of their isomorphism classes in terms of closed curves on the $n$-punctured torus without self-intersections. Employing re
Externí odkaz:
http://arxiv.org/abs/2011.08288
Publikováno v:
pp. 301-316 in ANTS XIV: Proceedings of the Fourteenth Algorithmic Number Theory Symposium (S. Galbraith, ed.), the Open Book Series 4, Mathematical Sciences Publishers, Berkeley, 2020
A Howe curve is a curve of genus $4$ obtained as the fiber product of two genus-$1$ double covers of $\mathbf{P}^1$. In this paper, we present a simple algorithm for testing isomorphism of Howe curves, and we propose two main algorithms for finding a
Externí odkaz:
http://arxiv.org/abs/2006.11499
Autor:
Brock, Bradley W., Howe, Everett W.
We show that if $C$ is a supersingular genus-$2$ curve over an algebraically-closed field of characteristic $2$, then there are infinitely many Richelot isogenies starting from $C$. This is in contrast to what happens with non-supersingular curves in
Externí odkaz:
http://arxiv.org/abs/2002.02122