Abstract
We use topological –theory to study nonsingular varieties with quadratic entry locus. We thus obtain a new proof of Russo’s divisibility property for locally quadratic entry locus manifolds. In particular we obtain a –theoretic proof of Zak’s theorem that the dimension of a Severi variety must be , , or and so answer a question of Atiyah and Berndt. We also show how the same methods applied to dual varieties recover the Landman parity theorem.
Citation
Oliver Nash. "$K$–theory, LQEL manifolds and Severi varieties." Geom. Topol. 18 (3) 1245 - 1260, 2014. https://doi.org/10.2140/gt.2014.18.1245
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