Monomial equimultiple curves in positive characteristic
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- by R. Narasimhan PDF
- Proc. Amer. Math. Soc. 89 (1983), 402-406 Request permission
Abstract:
It is known that the local equimultiple locus of a hypersurface in characteristic zero is contained in a regular hypersurface. Here we give an example of a monomial curve on a threefold in positive characteristic $p{\text { > }}2$ which is equimultiple but not hyperplanar. As a corollary we have that any monomial curve which lies on a certain type of hypersurface (whose local equation is of a special form in its natural $p$-basis expression) is automatically equimultiple for the hypersurface.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 402-406
- MSC: Primary 14B05; Secondary 13H05, 13H15
- DOI: https://doi.org/10.1090/S0002-9939-1983-0715853-7
- MathSciNet review: 715853