Search results for " 14J10"

showing 2 items of 2 documents

Projective models of K3 surfaces with an even set

2006

The aim of this paper is to describe algebraic K3 surfaces with an even set of rational curves or of nodes. Their minimal possible Picard number is nine. We completely classify these K3 surfaces and after a carefull analysis of the divisors contained in the Picard lattice we study their projective models, giving necessary and sufficient conditions to have an even set. Moreover we investigate their relation with K3 surfaces with a Nikulin involution.

14J28 14J10 14E20Discrete mathematicsMathematics - Algebraic GeometryPure mathematicsMathematics::Algebraic GeometryFOS: MathematicsGeometry and TopologyProjective testAlgebraic numberAlgebraic Geometry (math.AG)Twisted cubicMathematicsadvg
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Symplectic automorphisms of prime order on K3 surfaces

2006

The aim of this paper is to study algebraic K3 surfaces (defined over the complex number field) with a symplectic automorphism of prime order. In particular we consider the action of the automorphism on the second cohomology with integer coefficients. We determine the invariant sublattice and its perpendicular complement, and show that the latter coincides with the Coxeter-Todd lattice in the case of automorphism of order three. We also compute many explicit examples, with particular attention to elliptic fibrations.

Discrete mathematicsPure mathematicsAutomorphismsAlgebra and Number TheoryOuter automorphism groupK3 surfacesAutomorphismCohomologyMathematics - Algebraic GeometryMathematics::Group TheoryInner automorphism14J28 14J10FOS: MathematicsInvariant (mathematics)Algebraic numberComplex numberAlgebraic Geometry (math.AG)ModuliSymplectic geometryMathematics
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