2023/04/08 by Xin Fu, Fu, Xin, Tseleung So +3 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.2304.03936
Let X(P,λ) be a 4-dimensional toric orbifold associated to a polygon P and a characteristic function λ. Assuming that X(P,λ) is locally smooth over a vertex of P, we determine the integral cohomology ring H^*(X(P,λ);\Z) by constructing an explicit basis and expressing the cup products of the basis elements in terms of P and λ.