AbstractWe discuss the geometry of the genus one fibrations associated to an elliptic fibration on a K3 surface. We show that the two-torsion subgroup of the Brauer group of a general elliptic fibration is naturally isomorphic to the two torsion of the Jacobian of a curve associated to the fibration. We remark that this is related to Recillas’ trigonal construction. Finally we discuss the two-torsion in the Brauer group of a general K3 surface with a polarization of degree two
The role played by the Brauer group in the arithmetic of K3 surfaces is not weill understood. Diagon...
We exhibit central simple algebras over the function field of a diagonal quartic surface over the co...
After fixing numerical invariants such as dimension, it is natural to ask which birational classes o...
AbstractWe discuss the geometry of the genus one fibrations associated to an elliptic fibration on a...
We discuss the geometry of the genus one fibrations associated to an elliptic fibration on a K3 surf...
Brauer groups of K3 surfaces behave in many ways like torsion points of elliptic curves. In 1996, M...
Let X be a smooth double cover of a geometrically ruled surface defined over a separably closed fiel...
We construct unramified central simple algebras representing 2-torsion classes in the Brauer group o...
The contributions in this book explore various contexts in which the derived category of coherent sh...
Rehmann U, Tikhonov SV, Yanchevskii VI. Two-torsion of the Brauer groups of hyperelliptic curves and...
We consider a family of smooth del Pezzo surfaces of degree four and study the geometry and arithmet...
One may ask how much of the classical theory of complex multiplication translates to K3 surfaces. Th...
Abstract. Let X be a smooth double cover of a geometrically ruled surface defined over a separably c...
We exhibit central simple algebras over the function field of a diagonal quartic surface over the co...
Abstract. We show that transcendental elements of the Brauer group of an algebraic surface can obstr...
The role played by the Brauer group in the arithmetic of K3 surfaces is not weill understood. Diagon...
We exhibit central simple algebras over the function field of a diagonal quartic surface over the co...
After fixing numerical invariants such as dimension, it is natural to ask which birational classes o...
AbstractWe discuss the geometry of the genus one fibrations associated to an elliptic fibration on a...
We discuss the geometry of the genus one fibrations associated to an elliptic fibration on a K3 surf...
Brauer groups of K3 surfaces behave in many ways like torsion points of elliptic curves. In 1996, M...
Let X be a smooth double cover of a geometrically ruled surface defined over a separably closed fiel...
We construct unramified central simple algebras representing 2-torsion classes in the Brauer group o...
The contributions in this book explore various contexts in which the derived category of coherent sh...
Rehmann U, Tikhonov SV, Yanchevskii VI. Two-torsion of the Brauer groups of hyperelliptic curves and...
We consider a family of smooth del Pezzo surfaces of degree four and study the geometry and arithmet...
One may ask how much of the classical theory of complex multiplication translates to K3 surfaces. Th...
Abstract. Let X be a smooth double cover of a geometrically ruled surface defined over a separably c...
We exhibit central simple algebras over the function field of a diagonal quartic surface over the co...
Abstract. We show that transcendental elements of the Brauer group of an algebraic surface can obstr...
The role played by the Brauer group in the arithmetic of K3 surfaces is not weill understood. Diagon...
We exhibit central simple algebras over the function field of a diagonal quartic surface over the co...
After fixing numerical invariants such as dimension, it is natural to ask which birational classes o...
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