Zobrazeno 1 - 10
of 18
pro vyhledávání: '"14H50, 14J26"'
Autor:
Shimada, Ichiro
We investigate Zariski multiples of plane curves $Z_1, \dots, Z_N$ such that each $Z_i$ is a union of a smooth quartic curve, some of its bitangents, and some of its 4-tangent conics. We show that, for plane curves of this type, the deformation types
Externí odkaz:
http://arxiv.org/abs/2209.11938
Autor:
Sharir, Micha, Solomon, Noam
We study incidence problems involving points and curves in $R^3$. The current (and in fact only viable) approach to such problems, pioneered by Guth and Katz, requires a variety of tools from algebraic geometry, most notably (i) the polynomial partit
Externí odkaz:
http://arxiv.org/abs/2007.04081
Autor:
Koras, Mariusz, Palka, Karol
We show that a complex planar curve homeomorphic to the projective line has at most four singular points. If it has exactly four then it has degree five and is unique up to a projective equivalence.
Comment: 35 pages
Comment: 35 pages
Externí odkaz:
http://arxiv.org/abs/1905.11376
Autor:
Hemmig, Mattias
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 3 (November 13, 2019) epiga:5541
In this article, we study isomorphisms between complements of irreducible curves in the projective plane $\mathbb{P}^2$, over an arbitrary algebraically closed field. Of particular interest are rational unicuspidal curves. We prove that if there exis
Externí odkaz:
http://arxiv.org/abs/1902.06324
Let $X$ be a projective surface and let $L$ be an ample line bundle on $X$. The global Seshadri constant $\varepsilon(L)$ of $L$ is defined as the infimum of Seshadri constants $\varepsilon(L,x)$ as $x\in X$ varies. It is an interesting question to a
Externí odkaz:
http://arxiv.org/abs/1901.02140
Autor:
Hanumanthu, Krishna
Let $C \subset \mathbb{P}^2$ be an irreducible and reduced curve of degree $e > 0$. Let $X$ be the blow up of $\mathbb{P}^2$ at $r$ distinct smooth points $p_1,\ldots,p_r \in C$. We study line bundles on $X$ and establish conditions for ampleness and
Externí odkaz:
http://arxiv.org/abs/1608.05490
In this paper, we study the spherical indicatrices of W-direction curves in three dimensional Euclidean space which were defined by using the unit Darboux vector field W of a Frenet curve, in [11]. We obtain the Frenet apparatus of these spherical in
Externí odkaz:
http://arxiv.org/abs/1506.03938
Publikováno v:
LMS J. Comput. Math. 16 (2013) 373-387
The purpose of this note is twofold. We present first a vanishing theorem for families of linear series with base ideal being a fat points ideal. We apply then this result in order to give a partial proof of a conjecture raised by Bocci, Harbourne an
Externí odkaz:
http://arxiv.org/abs/1302.0871
Autor:
Ciliberto, Ciro, Miranda, Rick
Publikováno v:
Transactions of the American Mathematical Society, 2000 Sep 01. 352(9), 4037-4050.
Externí odkaz:
https://www.jstor.org/stable/118173
Autor:
Mattias Hemmig
Publikováno v:
Épijournal de Géométrie Algébrique, Vol Volume 3 (2019)
In this article, we study isomorphisms between complements of irreducible curves in the projective plane $\mathbb{P}^2$, over an arbitrary algebraically closed field. Of particular interest are rational unicuspidal curves. We prove that if there exis
Externí odkaz:
https://doaj.org/article/8348bdd47e034119901eda719a0d9df4