Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence
نویسندگان
چکیده
منابع مشابه
Resonance, Linear Syzygies, Chen Groups, and the Bernstein-gelfand-gelfand Correspondence
If A is a complex hyperplane arrangement, with complement X, we show that the Chen ranks of G = π1(X) are equal to the graded Betti numbers of the linear strand in a minimal, free resolution of the cohomology ring A = H(X, k), viewed as a module over the exterior algebra E on A: θk(G) = dimk Tor E k−1(A, k)k , for k ≥ 2, where k is a field of characteristic 0. The Chen ranks conjecture asserts ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2005
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-05-03853-5