On automorphisms of quasi-smooth weighted complete intersections
V. V. Przyjalkowski, C. A. Shramov
Abstract
Abstract We show that every reductive subgroup of the automorphism group of a quasi-smooth well-formed weighted complete intersection of dimension at least is a restriction of a subgroup in the automorphism group in the ambient weighted projective space. Also, we provide examples demonstrating that the automorphism group of a quasi-smooth well-formed Fano weighted complete intersection may be infinite and even non-reductive. Bibliography: 25 titles.
Topics & Concepts
MathematicsAutomorphismAutomorphism groupCombinatoricsIntersection (aeronautics)Dimension (graph theory)Fano planeOuter automorphism groupInner automorphismGroup (periodic table)Characteristic subgroupComplete intersectionDiscrete mathematicsPure mathematicsGeneral linear groupProjective testMaximal subgroupCommutator subgroupAutomorphisms of the symmetric and alternating groupsAlternating groupGeometry and complex manifoldsAlgebraic Geometry and Number TheoryHolomorphic and Operator Theory