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Let $E \to X$ be a homomorphic vector bundle over a projective variety $X$. Does $E$$\mathbb{P}(E)$ always have holomorphic sections? If not what is the obstruction?
Let $E \to X$ be a homomorphic vector bundle over a projective variety $X$. Does $E$ always have holomorphic sections? If not what is the obstruction?
Let $E \to X$ be a homomorphic vector bundle over a projective variety $X$. Does $\mathbb{P}(E)$ always have holomorphic sections? If not what is the obstruction?