On Balance for Relative Homology |
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| Authors: | Zhenxing Di Jiaqun Wei Jianlong Chen |
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| Affiliation: | 1. Department of Mathematics, Northwest Normal University, Lanzhou, China;2. Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing, China;3. Department of Mathematics, Southeast University, Nanjing, China |
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| Abstract: | The Hodge spectrum is an important analytic invariant of singularities encoding the Hodge filtration and the monodromy of the Milnor fiber. However, explicit formulas exist in only a few cases. In this article, the main result is a combinatorial formula for the Hodge spectrum of any homogeneous polynomials in three variables whose zero locus is a projective curve arrangement having only ordinary multiple points. |
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| Keywords: | Balance Finite dimension Relative homology Semidualizing module |
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