54 citations · 385 across the 62 of their papers we have counts for
4 papers · 2 filters
Rationality of Fano threefolds of degree 18 over nonclosed fields
Brendan Hassett, Yuri Tschinkel
We study unirationality and rationality of Fano threefolds of degree 18 over nonclosed fields.
Cycle class maps and birational invariants
Brendan Hassett, Yuri Tschinkel
We introduce new obstructions to rationality for geometrically rational threefolds arising from the geometry of curves and their cycle maps.
Rationality of complete intersections of two quadrics
Brendan Hassett, Yuri Tschinkel
We study rationality problems for smooth complete intersections of two quadrics. We focus on the three-dimensional case, with a view toward understanding the invariants governing t…
Varieties of planes on intersections of three quadrics
Brendan Hassett, Yuri Tschinkel
We study the geometry of spaces of planes on smooth complete intersections of three quadrics, with a view toward rationality questions.