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ON THE EQUATIONS DEFINING SOME CURVES OF MAXIMAL REGULARITY IN P5
이완석,Shuailing Yang 영남수학회 2022 East Asian mathematical journal Vol.38 No.3
For a nondegenerate projective variety, it is a classical problem to study its defining equations with respect to a given embedding. In this paper, we precisely determine minimal sets of generators of the defining ideals of some curves of maximal regularity in $\P^5$.
唐代 王言 문서의 생산과 유통 ― 唐 公式令을 중심으로 ―
이완석 중국고중세사학회 2018 중국고중세사연구 Vol.48 No.-
In this article, we look at the procedures of the production and distribution of the Wangyan(王言) Document in Tang Dynasty. The draft document drafted by the Central Secretariat(中書省) will be officially completed after deliberation by the Chancellery(門下省). The documents are not distributed individually but are transmitted to the Department of State Affairs(尙書省), which oversees all the documents and government ordinances of the whole country, and Six Ministries(六部) made the form of Fu(符) containing the contents of the document and went down to the province. In addition, we studied the legal system set up by Tang Dynasty by examining the rules for making the procedures of document administration accurate and prompt. Since there is no punishment rule in the ordinance itself, it has been possible to establish the related provisions and to enforce the document administration. Especially, in case of illegal acts related to the Wangyan(王言) Document, the punishment was heavily punished, so that the authority of the emperor was protected and the intention of the government was thoroughly carried out.
CLASSIFICATION OF BETTI DIAGRAMS OF VARIETIES OF ALMOST MINIMAL DEGREE
이완석,박의성 대한수학회 2011 대한수학회지 Vol.48 No.5
In this article we study the problem to determine all occur-ring Betti diagrams of varieties X ⊂ P^r of almost minimal degree, i.e.,deg(X) = codim(X, P^r)+2. We describe a realistic picture of how many different kind of Betti diagrams exist at all (Theorem 3.1). By means of the computer algebra system "SINGULAR", we obtain a complete list of all occurring Betti diagrams in the cases where codim(X, P^r) ≤ 8.
On multisecant planes of locally non-Cohen-Macaulay surfaces
이완석,박의성 대한수학회 2017 대한수학회보 Vol.54 No.4
For a nondegenerate projective irreducible variety $X \subset \P^r$, it is a natural problem to find an upper bound for the value of \begin{equation*} \ell_{\beta} (X) = {\rm max} \{ \rm{length}(X \cap L)~|~ L= \P^{\beta} \subset \P^r ,~ {\rm dim}~(X \cap L) = 0 \} \end{equation*} for each $1 \leq \beta \leq e$. When $X$ is locally Cohen-Macaulay, A. Noma in \cite{N} proves that $\ell_{\beta} (X)$ is at most $d-e+\beta$ where $d$ and $e$ are respectively the degree and the codimension of $X$. In this paper, we construct some surfaces $S \subset \P^5$ of degree $d \in \{7,\ldots ,12 \}$ which satisfies the inequality \begin{equation*} \ell_2 (S) \geq d-3+\lfloor \frac{d}{2} \rfloor. \end{equation*} This shows that Noma's bound is no more valid for locally non-Cohen-Macaulay varieties.
Chemical Contamination and Toxicity of Sediments from the Gunsan Coast, Korea
이완석,최민규,황동운,이인석,김숙양 한국수산과학회 2012 Fisheries and Aquatic Sciences Vol.15 No.3
Polycyclic aromatic hydrocarbons (PAHs), butyltins (BTs), nonylphenol (NP), and fecal sterols concentrations in sediments were investigated from Gunsan coast of Korea to evaluate organic pollution from anthropogenic activities. Sediment toxicity was also examined by bacterial bioluminescence toxicity test (Vibrio fischeri). The concentrations of 16 PAHs in sediments ranged from 67.9 to 425 ng/g dry wt; BTs ranged from 2.79 to 14.1 ng Sn/g dry wt; NP ranged from 20.7 to 2171 ng/g dry wt; and coprostanol,a fecal sterol, ranged from 7.60 to 245 ng/g dry wt. Effective concentration 50% (EC50) of sediments ranged from 0.38 to 23.8 mg/mL. Most of the chemicals were present at levels lower than or comparable to the previously reported values from Korea. However,NP levels in the present study were in the high range of levels reported from the Korean coast, and 40% of the measured samples exceeded screening and ecotoxicological values of NP suggested by the Netherlands and Canada. This suggests that an ongoing source of NP is a serious concern in the Gunsan coast. High levels of contaminants were found in the proximity of potential sources, such as the outfall of a wastewater treatment plant for NP, an anthracite-fired power plant for PAHs, and ports for BTs, fecal sterols, and sediment toxicity. This indicates that Gunsan coast has various potential sources of marine sediment contaminants.