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arXiv math/0206264math.AGmath.CT
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关于Bernstein-Gel'fand-Gel'fand对应和Eisenbud、Fløystad和Schreyer的一个结果

On the Bernstein-Gel'fand-Gel'fand correspondence and a result of Eisenbud, Fløystad, and Schreyer

Iustin Coanda

摘要:

我们表明,一个组合之间的评论,从著名的注意I.N.伯恩斯坦,I.M. Gelfand和S.I. Gel'fand和D.艾森巴德湾Fløystad和F.- O. Schreyer,采取泰特决议外代数导致快速证明的主要结果,这两篇论文。这种组合表示的引理,我们证明直接使用上同调的可逆层的射影空间。

英文摘要:

We show that a combination between a remark from the well known note of I.N. Bernstein, I.M. Gel'fand and S.I. Gel'fand and the idea, systematically investigated in a recent work of D. Eisenbud, G. Fløystad and F.-O. Schreyer, of taking Tate resolution over exterior algebras leads to quick proofs of the main results of these two papers. This combination is expressed by a lemma which we prove directly using the cohomology of invertible sheaves on a projective space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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