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pro vyhledávání: '"Kim, Seonja"'
In this paper we consider curves on a cone that pass through the vertex and are also triple covers of the base of the cone, which is a general smooth curve of genus $\gamma$ and degree $e$ in $\mathbb{P}^{e-\gamma}$. Using the free resolution of the
Externí odkaz:
http://arxiv.org/abs/2302.08707
For $\gamma \geq 7$ and $g \geq 6\gamma + 5$, we construct a family $\mathcal{F}^{\prime}$ of curves lying on cones in $\mathbb{P}^{g-3\gamma+1}$ over smooth non-degenerate curves of genus $\gamma$ and degree $g-2\gamma$ in $\mathbb{P}^{g-3\gamma+1}$
Externí odkaz:
http://arxiv.org/abs/2208.12470
Autor:
Choi, Youngook, Kim, Seonja
In the present paper we investigate conditions for the non-existence of a limit linear series on a curve of compact type such that two smooth curves are bridged by a chain of two elliptic curves. Combining this work with results on the existence of a
Externí odkaz:
http://arxiv.org/abs/2008.04033
Let $\mathcal{I}_{d,g,r}$ be the union of irreducible components of the Hilbert scheme whose general points correspond to smooth irreducible non-degenerate curves of degree $d$ and genus $g$ in $\mathbb{P}^r$. We use families of curves on cones to sh
Externí odkaz:
http://arxiv.org/abs/1807.05137
The aim of this paper is two--fold. We first strongly improve our previous main result Theorem 3.1 in Arxiv 1702.00918v3 12Feb2018 ("Brill-Noether loci of rank two vector bundles on a general $\nu$-gonal curve"), concerning classification of irreduci
Externí odkaz:
http://arxiv.org/abs/1802.03956
Autor:
Choi, Youngook, Kim, Seonja
Publikováno v:
In Indagationes Mathematicae July 2022 33(4):844-860
In this paper we study the Brill Noether locus of rank 2, (semi)stable vector bundles with at least two sections and of suitable degrees on a general $\nu$-gonal curve. We classify its reduced components whose dimensions are at least the correspondin
Externí odkaz:
http://arxiv.org/abs/1702.00918
Publikováno v:
Manuscripta Mathematica; Nov2024, Vol. 175 Issue 3/4, p921-942, 22p
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Thèse en texte intégral accessible depuis l'Intranet de Paris 12
Thèse de doctorat : Lettres modernes : Paris 12 : 2004.
Version électronique uniquement consultable au sein de l'Université Paris 12 (Intranet). Titre provenant de l'écran-titre. Bibliogr. : 295 réf.
Version électronique uniquement consultable au sein de l'Université Paris 12 (Intranet). Titre provenant de l'écran-titre. Bibliogr. : 295 réf.