Y. Shin

activity

20052022

most citedSecant Varieties of the Varieties of Reducible Hypersurfaces in

P^{n}

3 citations · 6 across the 9 of their papers we have counts for

collaborators

11 papers

math.RT2022

Young wall construction of level-1 highest weight crystals over $U_{q} (D_{4}^{(3)})$ and $U_{q} (G_{2}^{(1)})$

Zhaobing Fan, Shaolong Han, Seok-Jin Kang +1

With the help of path realization and affine energy function, we give a Young wall construction of level-1 highest weight crystals $B (λ)$ over $U_{q} (G_{2}^{(1)})$ and $U_{q}(D_{4}…

math.RT2018

Representation theory of symmetric groups and the strong Lefschetz property

Seok-Jin Kang, Young-Rock Kim, Yong-Su Shin

We investigate the structure and properties of an Artinian monomial complete intersection quotient $A (n, d) = k [x_{1}, \dots, x_{n}] / (x_{1}^{d}, \dots, x_{n}^{d})$ . W…

math.AC2017

Distinguishing $k$ -configurations

Federico Galetto, Yong-Su Shin, Adam Van Tuyl

A $k$ -configuration is a set of points $X$ in $P^{2}$ that satisfies a number of geometric conditions. Associated to a $k$ -configuration is a sequence $(d_1…

math.AC2016

The symbolic defect of an ideal

Federico Galetto, Anthony V. Geramita, Yong-Su Shin +1

Let $I$ be a homogeneous ideal of $k [x_{0}, \dots, x_{n}]$ . To compare $I^{(m)}$ , the $m$ -th symbolic power of $I$ , with $I^{m}$ , the regular $m$ -th power, we introduce the $m$ -th sym…

math.AC2016

Green's theorem and Gorenstein sequences

Jeaman Ahn, Juan C. Migliore, Yong-Su Shin

We study consequences, for a standard graded algebra, of extremal behavior in Green's Hyperplane Restriction Theorem. First, we extend his Theorem 4 from the case of a plane curve…

math.AG2015★ 3 cited

Secant Varieties of the Varieties of Reducible Hypersurfaces in $P^{n}$

M. V. Catalisano, A. V. Geramita, A. Gimigliano +4

Given the space $V = P^{(n - 1 d + n - 1) - 1}$ of forms of degree $d$ in $n$ variables, and given an integer $ℓ > 1$ and a partition $λ$ of $d = d_{1} + \dots + d_{r}$ , it is in ge…

Young wall construction of level-1 highest weight crystals over Uq​(D4(3)​) and Uq​(G2(1)​)