Abstract
Suppose ? is a set of arbitrary number of smooth points in ℙ2\(\) its defining ideal. In this paper, we study the Rees algebras \(\) of the ideals generated by It, t ≥α. When the points of ? are general, we give a set of defining equations for the Rees algebra \(\) . When the points of ? are arbitrary, we show that for all t≫ 0, the Rees algebra \(\) is Cohen-Macaulay and its defining ideal is generated by quadratics. A cohomological characterization for arithmetic Cohen-Macaulayness of subvarieties of a product space is also given.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
