• Title, Summary, Keyword: exceptional collections

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CLASSIFICATION OF FULL EXCEPTIONAL COLLECTIONS OF LINE BUNDLES ON THREE BLOW-UPS OF ℙ3

  • Liu, Wanmin;Yang, Song;Yu, Xun
    • Journal of the Korean Mathematical Society
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    • v.56 no.2
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    • pp.387-419
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    • 2019
  • A fullness conjecture of Kuznetsov says that if a smooth projective variety X admits a full exceptional collection of line bundles of length l, then any exceptional collection of line bundles of length l is full. In this paper, we show that this conjecture holds for X as the blow-up of ${\mathbb{P}}^3$ at a point, a line, or a twisted cubic curve, i.e., any exceptional collection of line bundles of length 6 on X is full. Moreover, we obtain an explicit classification of full exceptional collections of line bundles on such X.

INTEGRAL CHOW MOTIVES OF THREEFOLDS WITH K-MOTIVES OF UNIT TYPE

  • Gorchinskiy, Sergey
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1827-1849
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    • 2017
  • We prove that if a smooth projective algebraic variety of dimension less or equal to three has a unit type integral K-motive, then its integral Chow motive is of Lefschetz type. As a consequence, the integral Chow motive is of Lefschetz type for a smooth projective variety of dimension less or equal to three that admits a full exceptional collection.

Analysis, Recognition and Enforcement Procedures of Foreign Arbitral Awards in the United States

  • Chang, Byung Youn;Welch, David L.;Kim, Yong Kil
    • Journal of Arbitration Studies
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    • v.27 no.3
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    • pp.53-76
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    • 2017
  • Korean businesses, and their legal representatives, have observed the improvements of enforcement of commercial judgments through arbitration over traditional collections litigation in U.S. Courts-due to quicker proceedings, exceptional cost savings and more predictable outcomes-in attaching assets within U.S. jurisdictions. But how are the 2016 interim measures implemented by the Arbitration Act of Korea utilized to avoid jurisdictional and procedure pitfalls of enforcement proceedings in the Federal Courts of the United States? Authors examine the necessary prerequisites of the U.S. Federal Arbitration Act as adopted through the New York Convention, to which Korea and the U.S. are signatories, as distinguished from the Panama Convention. Five common U.S. arbitration institutions address U.S. "domestic" disputes, preempting U.S. state law arbitrations, while this article focuses on U.S. enforcement of "international" arbitration awards. Seeking U.S. recognition and enforcement of Korean arbitral awards necessitates avoiding common defenses involving due process, public policy or documentary formality challenges. Provisional and conservatory injunctive relief measures are explored. A variety of U.S. cases involving Korean litigants are examined to illustrate the legal challenges involving non?domestic arbitral awards, foreign arbitral awards and injunctive relief. Suggestions aimed toward further research are focused on typical Korean business needs such as motions to confirm foreign arbitration awards, enforce such awards or motions to compel arbitration.

A Study on the Exhibition through the Web with Open Source Software OMEKA (공개 소프트웨어 OMEKA를 이용한 기록 웹 전시 방안 연구)

  • Choi, Yun-Jin;Choi, Dong-Woon;Kim, Hyung-Hee;Yim, Jin-Hee
    • The Korean Journal of Archival Studies
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    • no.42
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    • pp.135-183
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    • 2014
  • Korea has a high standard of IT environment to serve exhibit programs through the web with internet propagation and IT technology. However, the web exhibition of public institutions not only seem to introduce off-line exhibitions but also not to invigorate. It is caused by the lack of awareness, the cost of system installation and the lack of professional manpower. In this situation, OMEKA could suggest practical solutions to archives where need their own exhibition through the web. Especially, it would helpful for small record management organizations which are not enough budget and personal. OMEKA is an open source software program for digital collection and contents management. It has an affinity with users unlike traditional archives service programs. It also has been variously used by libraries, museums and schools because of exceptional exhibit functions. In this article, we introduce to the installation of a practical use about OMEKA. Regarding to OMEKA features, we consider it to raise exhibit effects. OMEKA would reduce the cost related to plans of exhibitions because it could display various contents and programs which reflecting characteristics of institutions. In addition, the availability of installation and widespread technological environment would lessen burden of public institutions. Using OMEKA, they would improve service level of public institutions and, make users satisfy. Therefore, they can change the social recognition of public institutions. OMEKA can contribute to various exercises of public records. It is not just the stereotypical system but, serves exhibition and collections with the strategy which each public institution would like to display. After all, it not only to connect to users with producers but also to improve the public image of institutions positively. Then, OMEKA would bring the great result through this interaction between public institutions and users.