1,721,142 research outputs found
On the automorphism group of some K3 surfaces with Picard number two
No full textWe investigate properties of some K3 surfaces with Picard number two. In particular, we show that several of them have an infinite cyclic group of automorphisms. We de- scribe projective models of a few of these surfaces
A-codes from rational functions over Galois rings
No full textIn this paper, we describe authentication codes via (generalized) Gray images of suitable codes over Galois rings. Exponential sums over these rings help determine-or bound-the parameters of such codes
Deformations of Calabi-Yau manifolds in Fano toric varieties
Full text linkIn this article, we investigate deformations of a Calabi-Yau manifold Z in a toric variety F, possibly not smooth. In particular, we prove that the forgetful morphism from the Hilbert functor HZF of infinitesimal deformations of Z in F to the functor of infinitesimal deformations of Z is smooth. This implies the smoothness of HZF at the corresponding point in the Hilbert scheme. Moreover, we give some examples and include some computations on the Hodge numbers of Calabi-Yau manifolds in Fano toric varieties
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