Rationality of complete intersections of two quadrics over nonclosed fields
Brendan Hassett, Yuri Tschinkel
Abstract
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 the rationality of a geometrically rational threefold over a nonclosed field.
Topics & Concepts
RationalityFocus (optics)Field (mathematics)MathematicsPure mathematicsMathematical economicsComputer scienceEpistemologyPhysicsPhilosophyOpticsAlgebraic Geometry and Number TheoryPolynomial and algebraic computationCommutative Algebra and Its Applications