Homotopy type of smooth weighted complete intersections
If the total degree \(d\) has no prime divisors less than \(\frac{n + 3}{2}\), then the authors prove that the homotopy type of the complex odd dimensional smooth weighted complete intersection \(X _{n }(d;w)\) is determined by the dimension \(n\), the total degree \(d\), the Euler characteristic and the Kervaire invariant, provided that the weights \(w = (\omega _{0},\dots , \omega _{n +r })\) are pairwise relatively prime.
scientific article; zbMATH DE number 5774138
scientific article