1. CJM 2013 (vol 66 pp. 625)
 Giambruno, Antonio; Mattina, Daniela La; Zaicev, Mikhail

Classifying the Minimal Varieties of Polynomial Growth
Let $\mathcal{V}$ be a variety of associative algebras generated by
an algebra with $1$ over a field of characteristic zero. This
paper is devoted to the classification of the varieties
$\mathcal{V}$ which are minimal of polynomial growth (i.e., their
sequence of codimensions growth like $n^k$ but any proper subvariety
grows like $n^t$ with $t\lt k$). These varieties are the building
blocks of general varieties of polynomial growth.
It turns out that for $k\le 4$ there are only a finite number of
varieties of polynomial growth $n^k$, but for each $k \gt 4$, the
number of minimal varieties is at least $F$, the cardinality of
the base field and we give a recipe of how to construct them.
Keywords:Tideal, polynomial identity, codimension, polynomial growth, Categories:16R10, 16P90 

2. CJM 2011 (vol 64 pp. 755)
 Brown, Lawrence G.; Lee, Hyun Ho

Homotopy Classification of Projections in the Corona Algebra of a Nonsimple $C^*$algebra
We study projections in the corona algebra of $C(X)\otimes K$, where K
is the $C^*$algebra of compact operators on a separable infinite
dimensional Hilbert space and $X=[0,1],[0,\infty),(\infty,\infty)$,
or $[0,1]/\{ 0,1 \}$. Using BDF's essential codimension, we determine
conditions for a projection in the corona algebra to be liftable to a
projection in the multiplier algebra. We also determine the
conditions for two projections to be equal in $K_0$, Murrayvon
Neumann equivalent, unitarily equivalent, or homotopic. In light of
these characterizations, we construct examples showing that the
equivalence notions above are all distinct.
Keywords:essential codimension, continuous field of Hilbert spaces, Corona algebra Categories:46L05, 46L80 

3. CJM 1997 (vol 49 pp. 675)
 de Cataldo, Mark Andrea A.

Some adjunctiontheoretic properties of codimension two nonsingular subvarities of quadrics
We make precise the structure of the first two reduction morphisms
associated with codimension two nonsingular subvarieties
of nonsingular quadrics $\Q^n$, $n\geq 5$.
We give a coarse classification of the same class of subvarieties
when they are assumed not to be of loggeneraltype.}
Keywords:Adjunction Theory, classification, codimension two, conic bundles,, low codimension, non loggeneraltype, quadric, reduction, special, variety. Categories:14C05, 14E05, 14E25, 14E30, 14E35, 14J10 
