Description
Rational Singularities.
We will define special singularities of algebraic or analytic varieties
called rational singularities introduced my M. Artin. After discussing
some equivalent criterion for rationality we will give many naturally
occuring examples.
Next, we will describe the results of Artin in dimension 2.
Important results due to Brieskorn, Lipman, Mumford, Tjurina,...
will be mentioned.
If time permits some results by Spivakovsky, Le dung Trang-M. Tosun,
Gurjar-Wagh,...will be mentioned.
No proofs wil be given.