Higher order singularities of morphisms to projective space
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- by Johan P. Hansen PDF
- Proc. Amer. Math. Soc. 97 (1986), 226-232 Request permission
Abstract:
This paper proves existence theorems for higher order singularities of a finite morphism to ${{\mathbf {P}}^m}$ and deduces a result on simple connectivity of varieties admitting a finite morphism of bounded singularity. The singularities are obtained by successive degeneration of double points of $f$. Our main tool is R. Schwarzenbergerâs notion of generalized secant sheaves and the connectedness theorem obtained by W. Fulton and the author.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 226-232
- MSC: Primary 14E22; Secondary 14E20
- DOI: https://doi.org/10.1090/S0002-9939-1986-0835870-9
- MathSciNet review: 835870