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Web page maintained by: Alexandru I. Suciu | Created: September 23, 1998 Updated: October 7, 1998 |
Comments to:
alexsuciu@neu.edu |
URL: http://www.math.neu.edu/~suciu/gas/schenck.html |
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| The Chern polynomial of a three-arrangement |
| Abstract: I'll begin with a quick introduction to Hyperplane Arrangements (Intersection Lattice, Möbius function, Poincaré polynomial, the module of A-derivations). I will then prove that the Poincaré polynomial p(A, t) of a (central) three-arrangement A is (1 + t) times the Chern polynomial of the sheaf associated to the dual of the kernel of the Jacobian of A. I'll also prove that if A is a (central) three-arrangement, then this sheaf is a vector bundle. |
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Web page maintained by: Alexandru I. Suciu | Created: September 23, 1998 Updated: October 7, 1998 |
| Comments to:
alexsuciu@neu.edu |
URL: http://www.math.neu.edu/~suciu/gas/schenck.html |