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Linear spaces on rational hypersurfaces of odd degree
Author(s) -
Dietmann Rainer
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdq052
Subject(s) - mathematics , hypersurface , degree (music) , dimension (graph theory) , integer (computer science) , space (punctuation) , polynomial , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , linguistics , philosophy , physics , computer science , acoustics , programming language
Let F be a non‐singular rational hypersurface of odd degree d , and let m be a positive integer. We show that for a fixed degree d , if the dimension exceeds a bound polynomial in m , then there is a rational linear space V of dimension m such that F vanishes on V .
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