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Abundance of Real Lines on Real Projective Hypersurfaces
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Date
2013-01-01
Author
Finashin, Sergey
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We show that a generic real projective n-dimensional hypersurface of degree 2n-1 contains many real lines, namely not less than (2n-1)!!, which is approximately the square root of the number of complex lines. This estimate is based on the interpretation of a suitable signed count of the lines as the Euler number of an appropriate bundle.
Subject Keywords
Enumerative geometry
URI
https://hdl.handle.net/11511/47179
Journal
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
DOI
https://doi.org/10.1093/imrn/rns135
Collections
Department of Mathematics, Article
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S. Finashin, “Abundance of Real Lines on Real Projective Hypersurfaces,”
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
, pp. 3639–3646, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47179.