Results 41 to 50 of about 2,776 (226)
A criterion for an abelian variety to be non-simple [PDF]
, 2017 We give a criterion in terms of period matrices for an arbitrary polarized abelian variety to be non-simple.
Rojas, A. M., Lange, H., Auffarth, R.
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
On Abelian and Related Fuzzy Subsets of Groupoids
The Scientific World Journal, 2013 We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of
Seung Joon Shin, Hee Sik Kim, J. Neggers
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Search for non-Abelian Majorana braiding statistics in superconductors
SciPost Physics Lecture Notes, 2020 This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the laboratory, but ...
C. W. J. Beenakker
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Inventiones Mathematicae, 1981 Let (X0,2 o) be a polarized abelian variety over a field of characteristic p, p + 0; let R be a domain of characteristic zero. We say (X 0, 20) lifts to R provided there is a polarized abelian scheme, (X, 2), over R and a k-valued point of Spec R such that the fiber of(X, 2) over this point is (Xo, 20).
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The Two Extremal Rays of Some Hyper–Kähler Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
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Toward Kitaev's sixteenfold way in a honeycomb lattice model
Physical Review Research, 2020 Kitaev's sixteenfold way is a classification of exotic topological orders in which Z_{2} gauge theory is coupled to Majorana fermions of Chern number C. The 16 distinct topological orders within this class, depending on Cmod16, possess a rich variety of ...
Shang-Shun Zhang +2 more
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Arithmetic on abelian and Kummer varieties
Finite Fields and Their Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lubicz, David, Robert, Damien
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Inducing Coverings on Hilbert Schemes
Mathematische Nachrichten, EarlyView.ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
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On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians
Journal of Mathematics, 2015 We give a new proof for a theorem of Ziv Ran which generalizes some results of Matsusaka and Hoyt. These results provide criteria for an Abelian variety to be a Jacobian or a product of Jacobians. The advantage of our method is that it works in arbitrary
Cristian Anghel, Nicolae Buruiana
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