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Abundance of 3-Planes on Real Projective Hypersurfaces
Date
2015-07-01
Author
Finashin, Sergey
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© 2015, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.We show that a generic real projective n-dimensional hypersurface of odd degree d, such that 4(n-2)=(d+33), contains “many” real 3-planes, namely, in the logarithmic scale their number has the same rate of growth, d3log d, as the number of complex 3-planes. This estimate is based on the interpretation of a suitable signed count of the 3-planes as the Euler number of an appropriate bundle.
URI
https://hdl.handle.net/11511/92625
Journal
Arnold Mathematical Journal
DOI
https://doi.org/10.1007/s40598-015-0015-5
Collections
Department of Mathematics, Article
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S. Finashin, “Abundance of 3-Planes on Real Projective Hypersurfaces,”
Arnold Mathematical Journal
, vol. 1, no. 2, pp. 171–199, 2015, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92625.