### Essential normality and the decomposability of algebraic varieties

#### by Orr Shalit

I am very proud, because few days ago Matt Kennedy and I have had our new paper, Essential normality and the decomposability of algebraic varieties, published in the New York Journal of Mathematics.

In this paper we treat a strong version of a conjecture of Arveson, which we call the “Geometric Arveson-Douglas Conjecture”, and we obtain some new results in particular cases (the conjecture is still far from being settled). I think that we do a good job in the introduction of the paper explaining what this conjecture is and what we do, so I invite you to take a look.

Now I want to say a few words about the New York Journal of Mathematics. I’ll say it in a different post.

[…] I have just announced in a previous post, Matt Kennedy and I have just published a paper in the New York Journal of […]

[…] conjecture, and I worked on this conjecture on and off for several years (see here, here, here and here for earlier posts of mine mentioning this conjecture). That’s one way I got to know […]