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Window shifts, flop equivalences and Grassmannian twists
Window shifts flop equivalences Grassmannian twists Algebraic Geometry
2012/6/14
We introduce a new class of autoequivalences that act on the derived categories of certain vector bundles over Grassmannians. These autoequivalences arise from Grassmannian flops: they generalize Seid...
Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras
regular algebra Clifford algebra skew Clifford algebra twist by an automorphism
2012/4/17
We prove that if $A$ is a regular graded skew Clifford algebra and is a twist of a regular graded Clifford algebra $B$ by an automorphism, then the subalgebra of $A$ generated by a certain normalizing...
Periods of Quadratic Twists of Elliptic Curves
Periods Quadratic Twists of Elliptic Curves
2011/1/17
In this paper we prove a relation between the period of an elliptic curve and the period of its real and imaginary quadratic twists. This relation is often misstated in the literature.
On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve
Ranks of the 2-Selmer Groups of Twists Given Elliptic Curve
2010/12/1
On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve.