On the lower bounds for real double Hurwitz numbers
| Autor: | Ding, Yanqiao |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10801-022-01213-3 |
| Popis: | As the real counterpart of double Hurwitz number, the real double Hurwitz number depends on the distribution of real branch points. We consider the problem of asymptotic growth of real and complex double Hurwitz numbers. We provide a lower bound for real double Hurwitz numbers based on the tropical computation of real double Hurwitz numbers. By using this lower bound and J. Rau's result ( Math. Ann. 375(1-2): 895-915, 2019), we prove the logarithmic equivalence of real and complex Hurwitz numbers. Comment: 19 pages, 14 figures, final version, to appear in J. Algebraic Combin. arXiv admin note: text overlap with arXiv:1805.08997 by other authors |
| Databáze: | arXiv |
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