4 papers
math.AG2026
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.
math.AG2026
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.
math.AG2024
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…
math.AG2024
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.