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Characterizations of projective spaces and hyperquadrics
Characterizations of projective spaces hyperquadrics
2011/2/25
Projective spaces and hyperquadrics are the simplest projective algebraic varieties, and they can be characterized in many ways. The aim of this paper is to provide a new characterization of them in t...
Characterizations of Projective Spaces and Hyperquadrics via Positivity Properties of the Tangent Bundle
Characterizations of Projective Spaces Hyperquadrics Positivity Properties Tangent Bundle
2011/1/20
Let X be a smooth complex projective variety. A re-cent conjecture of S. Kov´acs states that if the pth-exterior power of the tangent bundle TX contains the pth-exterior power of an am-
ple vec...
Partial Rigidity of CR Embeddings of Real Hypersurfaces into Hyperquadrics with Small Signature Difference
Partial Rigidity Real Hypersurfaces Signature Difference
2010/11/11
We study the rigidity of holomorphic mappings from a neighborhood of a Levi-nondegenerate CR hypersurface $M$ with signature $l$ into a hyperquadric $Q_{l'}^{N} \subseteq \mathbb{CP}^{N+1}$ of larger ...