Resumen de The defining ideal of a set of points in multi-projective space

Adam van Tuyl

• The defining ideal of a set of points in is investigated with a special emphasis on the case when is in generic position, that is, has the maximal Hilbert function. When is in generic position, the degrees of the generators of the associated ideal are determined. denotes the minimal number of generators of , and this description of the degrees is used to construct a function with the property that always holds for points in generic position in . When , equals the expected value for as predicted by the ideal generation conjecture. If , it is shown that there are cases with . However, computational evidence suggests that in many cases).