The Milnor number of plane irreducible singularities in positive characteristic
| Autor: | Barroso, Evelia R. García, Płoski, Arkadiusz |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Bulletin of the London Mathematical Society (2016) 48 (1): 94-98 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/blms/bdv095 |
| Popis: | \noindent Let $\mu(f)$ resp. $c(f)$ be the Milnor number resp. the degree of the conductor of an irreducible power series $f\in \bK[[x,y]]$, where $\bK$ is an algebraically closed field of characteristic $p\geq 0$. It is well-known that $\mu(f)\geq c(f)$. We give necessary and sufficient conditions for the equality $\mu(f)=c(f)$ in terms of the semigroup associated with $f$, provided that $p>\ord f$. Comment: 8 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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