CHARACTERIZATION OF PROJECTIVE SPACES AND $\mathbb{P}^{r}$ -BUNDLES AS AMPLE DIVISORS
Sign Up to like & getrecommendations! Published in 2017 at "Nagoya Mathematical Journal"
DOI: 10.1017/nmj.2017.31
Abstract: Let $X$ be a projective manifold of dimension $n$ . Suppose that $T_{X}$ contains an ample subsheaf. We show that $X$ is isomorphic to $\mathbb{P}^{n}$ . As an application, we derive the classification of projective… read more here.
Keywords: bundles ample; spaces mathbb; ample divisors; characterization projective ... See more keywords
Higher codimensional alpha invariants and characterization of projective spaces
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DOI: 10.1142/s0129167x20500123
Abstract: We generalize the definition of alpha invariant to arbitrary codimension. We also give a lower bound of these alpha invariants for K-semistable [Formula: see text]-Fano varieties and show that we can characterize projective spaces among… read more here.
Keywords: alpha; characterization projective; projective spaces; codimensional alpha ... See more keywords