Семинар Лаборатории алгебраической геометрии в среду: Alexander Duncan (Michigan)

April 29, 2015 (Wednesday), 18:30, room 1001: Alexander Duncan (Michigan) Equivariant unirationality of surfaces

  A variety X is unirational if there exists a dominant rational map from V to X where V is an affine space. Generalizing this idea, for a linear algebraic group G we say a G-variety X is G-unirational if there exists a G-equivariant dominant rational map from V to X where V is a linear representation.

  I consider the G-unirationality of del Pezzo surfaces over the complex numbers. I will discuss the connections between the equivariant version of unirationality and the arithmetic version of unirationality over a non-algebraically closed field.