The cohomology rings of smooth toric varieties and quotients of moment-angle complexes
The cohomology rings of smooth toric varieties and quotients of moment-angle complexes
Partial quotients of moment-angle complexes are topological analogues of smooth, not necessarily compact toric varieties. In 1998, Buchstaber and Panov proposed a formula for the cohomology ring of such a partial quotient in terms of a torsion product involving the corresponding Stanley-Reisner ring. We show that their formula gives the …