Author:
ROMANO ELEONORA A.,WIŚNIEWSKI JAROSŁAW A.
Abstract
AbstractLetXbe a complex projective manifold,Lan ample line bundle onX, and assume that we have a ℂ* action on (X;L). We classify such triples (X;L;ℂ*) for which the closure of a general orbit of the ℂ* action is of degree ≤ 3 with respect toLand, in addition, the source and the sink of the action are isolated fixed points, and the ℂ* action on the normal bundle of every fixed point component has weights ±1. We treat this situation by relating it to the classical adjunction theory. As an application, we prove that contact Fano manifolds of dimension 11 and 13 are homogeneous if their group of automorphisms is reductive of rank ≥ 2.
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
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