For fixed Fano index e, a very general complex Fano hypersurface of dimension n has degree of irrationality at least sqrt(n)/4 for all sufficiently large n; this is the first construction of rationally connected varieties with degree of irrationality at least 4.
B/i.sc/r.sc/k.sc/a.sc/r.sc, The Iitaka conjecture C n,m in dimension six, Compositio Mathematica, 145 (2009), pp
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Fano hypersurfaces with arbitrarily large degrees of irrationality
For fixed Fano index e, a very general complex Fano hypersurface of dimension n has degree of irrationality at least sqrt(n)/4 for all sufficiently large n; this is the first construction of rationally connected varieties with degree of irrationality at least 4.