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Showing 1 to 5 of 5 for “"K3 surfaces"”.
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Automorphisms of Graph Curves on K3 Surfaces
… group of configurations of rational curves on $K3$ surfaces. We use the properties of finite automorphisms of $\PP^1$ to examine what restrictions a given elliptic fibration imposes on the possible finite order non-symplectic automorphisms of the $K3$ surface. We also examine the fixed loci of …
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Strange duality on elliptic and K3 surfaces
… have been ongoing work on the Strange Duality on surfaces by various people. In the current paper, we show that the approach of Marian and Oprea to treating elliptic surfaces can be generalized in multiple directions: first, we can prove the Strange Duality in many cases over elliptic surfaces, …
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On the Classification of Enriques Surfaces
… famous conjectures concerning the structure of K3 surfaces: all such surfaces are deformation equivalent; they all admit K¨ahler structures; every point of the period domain arises as the period point of a K3 surface; and the biholomorphism class of a K3 surface is determined by its period …
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Singularities of the Perfect Cone Compactification
… are used to construct moduli spaces of polarised K3 surfaces and are strongly related to moduli spaces of hyperkähler varieties of higher dimension. The local analysis of singularities of a toroidal compactification reduces to that of finite quotients of toric varieties. The main result of this …
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On Berglund-Hübsch-Krawitz Mirror Symmetry
… are certain finite symplectic quotients of hypersurfaces in weighted-projective space. First, we will describe their birational geometry using Shioda maps and prove that so-called alternate mirrors are birational. Next, we will compute algebraic invariants of the orbifolds and their crepant …