Joachim Jelisiejew

Title: Special projections, Cremona transformations and eight points

Abstract:
What are the possible degrees of equations of the image of an embedding
PP^n -> PP^m given by a tuple F of degree d forms? In a special case
(n,m,d)=(3,6,2) we present an elementary answer, which relates the number of
cubics in the image, sections of special Cremona transformations of PP^m and
deformations of the finite scheme V(F) in A^(n+1).
This is a joint work with Grzegorz Kapustka and Michal Kapustka.