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Focal loci of algebraic hypersurfaces: A general theory

Abstract:

The focal locus is traditionally defined for a differentiable submanifold of Rn. However, since it depends essentially only on the notion of orthogonality, a focal locus can be also associated to an algebraic subvariety of the space PnC, once we have chosen an orthogonal structure on this space. In this paper, we establish some basic results in the theory of focal loci of algebraic hypersurfaces in PnC. Our main results concern the irreducibility of the ramification divisor of the end-point m...

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Publication status:
Published

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Publisher copy:
10.1023/A:1005059516044

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Institution:
University of Oxford
Division:
HUMS
Department:
Philosophy Faculty
Role:
Author
Journal:
GEOMETRIAE DEDICATA More from this journal
Volume:
70
Issue:
1
Pages:
1-26
Publication date:
1998-03-01
DOI:
ISSN:
0046-5755
Language:
English
Keywords:
Pubs id:
pubs:65573
UUID:
uuid:1d403777-1cc4-4fdd-9223-6cdf7082cb96
Local pid:
pubs:65573
Source identifiers:
65573
Deposit date:
2012-12-19

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