Connectedness of the Hilbert scheme

The purpose of this paper is to define and prove the existence of the Hilbert scheme. This was originally done by Grothendieck in [4]. A simplified proof was given by Mumford [11], and we will basically follow that proof, with small modifications.

On $A^{1}$ -fibrations of subalgebras of polynomial algebras

S. M. Bhatwadekar, Amartya K. Dutta (1995)

Compositio Mathematica

Similarity:

The spectrum of a Cartesian product of plural algebras

Renata Burgetová, Dalibor Klucký (1981)

Časopis pro pěstování matematiky

Similarity:

Displaying similar documents to “Connectedness of the Hilbert scheme”

Rational components of Hilbert schemes

Algebraic approximation of structures over complete local rings

On Hilbert polynomial of certain determinantal ideals.

Sheaves of semiprime ideals

Elementary introduction to representable functors and Hilbert schemes

On A 1 -fibrations of subalgebras of polynomial algebras

The spectrum of a Cartesian product of plural algebras

On $A^{1}$ -fibrations of subalgebras of polynomial algebras