--Ex 1b what is the connection between the variety of reducible quadratic forms and the quadratic Veronese variety?
--Ex 2b can the *generic* cubic form F(x,y,z) be written as F=LMN for some linear forms? how can we check whether a given specific cubic form can be written as F=LMN?
--Ex 3b how can we check whether the *generic* cubic form F(x,y,z) can be written as F=LQ+MQ' for some linear forms L and M? This answer says that "the generic plane cubic contains four points whichc are the complete intersection of to conics". What does this mean? Why is this true?
--Ex 1c use double points to compute the dimension of all the higher secant varieties to Veronese surfaces obtained as d-uple embeddings of P^2, d<=4;
--Ex 2c use double points on P^1 to determine the dimension of higher secant varieties of rational normal curves
--Ex 3c what do triple points in P^1 say about rational normal curves? Try to compute the inverse system in degree 3 for the triple point supported on [1:0] and relate it to the twisted cubic curve