54 citations · 385 across the 62 of their papers we have counts for
63 papers
Witt rings, Pfister forms, and equivariant birational geometry
Brendan Hassett, Yuri Tschinkel
We study equivariant birational geometry of quadrics with actions of finite groups and develop analogs of Witt groups and Pfister theory in the equivariant context.
Moduli of conic surfaces over the line
Brendan Hassett, Amanda Hernandez
We study moduli spaces and monodromy groups for surfaces fibered in conics over the projective line, with a view toward explicit presentations and arithmetic applications.
Degree two unirational parametrizations over the real field
Brendan Hassett, Hayato Takagi, Sho Tanimoto
We study degree two unirational parameterizations of geometrically rational surfaces over the real field.
Cubic fourfolds of discriminant 24 and rationality
Brendan Hassett
Cubic fourfolds of discriminant 24 contain special codimension-two algebraic cycles of degree 6 and self-intersection 20. Such cycles may be represented by singular scrolls or del…
Equivariant geometry of low-dimensional quadrics
Brendan Hassett, Yuri Tschinkel
We provide new stable linearizability constructions for regular actions of finite groups on homogeneous spaces and low-dimensional quadrics.
Rationality of forms of
Brendan Hassett, Yuri Tschinkel, Zhijia Zhang
We study equivariant geometry and rationality of moduli spaces of points on the projective line, for twists associated with permutations of the points.