Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Given a Hilbert scheme $H$ of curves in $\mathbb{P}^3$ satisfying certain Hilbert polynomial, is there any way of understanding the degree or arithmetic genus of an irreducible component of the reduced scheme $H_{red}$? If so can this be generalised to Hilbert scheme parametrizing higher dimensional projective varieties or to Hilbert flag schemes?

share|improve this question
It seems to me that the title of your post does not match with the question. Maybe you meant "Hilbert function of a Hilbert scheme" instead of "Euler characteristic of a Hilbert scheme"? –  Francesco Polizzi Oct 1 '12 at 12:35

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.