논문
Cartan-Fubini rigidity of double covering morphisms of a quadratic manifolds
- 저자Hosung Kim
- 학술지Pacific Journal of Mathematics 282(2)
- 등재유형
- 게재일자(2016)
Let Z⊂PN be a Fano manifold whose Picard group is generated by the hyperplane section class. Assume that Z is covered by lines and i(Z)≥3. Let ？:XZ→Z be a double cover, branched along a smooth hypersurface section of degree 2m,1≤m≤i(Z)−2. We describe the defining ideal of the variety of minimal rationaltangents at a general point. As an application, we show that if Z⊂PN is defined by quadratic equations and 2≤m≤i(Z)−2, then the morphism ？ satisfies the Cartan–Fubini type rigidity property.
Let Z⊂PN be a Fano manifold whose Picard group is generated by the hyperplane section class. Assume that Z is covered by lines and i(Z)≥3. Let ？:XZ→Z be a double cover, branched along a smooth hypersurface section of degree 2m,1≤m≤i(Z)−2. We describe the defining ideal of the variety of minimal rationaltangents at a general point. As an application, we show that if Z⊂PN is defined by quadratic equations and 2≤m≤i(Z)−2, then the morphism ？ satisfies the Cartan–Fubini type rigidity property.
