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In this paper, we study the property of bigness of the tangent bundle of a smooth projective rational surface with nef anticanonical divisor. We first show that the tangent bundle $T_S$ of $S$ is not big if $S$ is a rational elliptic surface. We then
Externí odkaz:
http://arxiv.org/abs/2408.14411
Let $S$ be a non-uniruled (i.e., non-birationally ruled) smooth projective surface. We show that the tangent bundle $T_S$ is pseudo-effective if and only if the canonical divisor $K_S$ is nef and the second Chern class vanishes, i.e., $c_2(S)=0$. Mor
Externí odkaz:
http://arxiv.org/abs/2302.10077
Autor:
Kim, Hosung, Lee, Yongnam
In this paper, we show that there is a natural Lagrangian fibration structure on the map $\Phi$ from the cotangent bundle of a del Pezzo surface $X$ of degree 4 to $\mathbb C^2$. Moreover, we describe explicitly all level surfaces of the above natura
Externí odkaz:
http://arxiv.org/abs/2210.01317
In this paper, we study the positivity property of the tangent bundle $T_X$ of a Fano threefold $X$ with Picard number 2. We determine the bigness of the tangent bundle of the whole 36 deformation types. Our result shows that $T_X$ is big if and only
Externí odkaz:
http://arxiv.org/abs/2201.06351
Autor:
Kim, Hosung, Lee, Yongnam
A congruence is a surface in the Grassmannian ${\rm Gr}(2, 4)$. In this paper, we consider the normalization of congruence of bitangents to a hypersurface in $\mathbb P^3$. We call it the Fano congruence of bitangents. We give a criterion for smoothn
Externí odkaz:
http://arxiv.org/abs/2109.07655
Autor:
Kim, Hosung, Lee, Yongnam
Let $X$ be a double cover of $\mathbb P^3$ branched along a sextic surface $Y$. In this paper, we show that, for general $X$, the Abel-Jacobi map associated to the normalization $\tilde F(X)$ of the surface $F(X)$ of curves contained in $X$ which are
Externí odkaz:
http://arxiv.org/abs/2005.09231
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Let $X$ be a very general hypersurface of degree $d$ in the projective $(n+1)$-space with $n \ge 3$, and $f: X \to Y$ a non-birational surjective morphism to a normal projective variety $Y$. We first prove that $Y$ is a klt Fano variety if ${\rm deg}
Externí odkaz:
http://arxiv.org/abs/1908.06894
Publikováno v:
In Energy Conversion and Management 15 July 2023 288
Autor:
Catanese, Fabrizio, Lee, Yongnam
We give a characterizaton of smooth ample Hypersurfaces in Abelian Varieties and also describe an irreducible connected component of their moduli space: it consists of the Hypersurfaces of a given polarization type, plus the iterated univariate cover
Externí odkaz:
http://arxiv.org/abs/1903.07764