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- W2150111349 abstract "We study a relation between roots of characteristic polynomials and intersection points of line arrangements. Using these results, we obtain a lot of applications for line arrangements. Namely, we give (i) a generalized addition theorem for line arrangements, (ii) a generalization of Faenzi-Vall`{e}s' theorem over a field of arbitrary characteristic, (iii) a partial result on the conjecture of Terao of line arrangements, and (iv) a new sufficient condition for freeness over finite fields. Also, a higher dimensional version of main results is considered." @default.
- W2150111349 created "2016-06-24" @default.
- W2150111349 creator A5064015894 @default.
- W2150111349 date "2013-02-15" @default.
- W2150111349 modified "2023-09-24" @default.
- W2150111349 title "Roots of characteristic polynomials and intersection points of line arrangements" @default.
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- W2150111349 doi "https://doi.org/10.48550/arxiv.1302.3822" @default.
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