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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Higher order singularities of morphisms to projective space


Author: Johan P. Hansen
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
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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. Schwarzenberger's notion of generalized secant sheaves and the connectedness theorem obtained by W. Fulton and the author.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0835870-9
Article copyright: © Copyright 1986 American Mathematical Society