CW Complexes for Complex Algebraic Surfaces

Abstract

We describe CW complexes for complex projective algebraic surfaces in the context of practical computation of topological invariants. CW COMPLEXES FOR COMPLEX ALGEBRAIC SURFACES ANDREW KRESCHAbstract. We describe CW complexes for complex projective algebraic surfaces in the context of practical computation of topological invariants.

Effective computation of Picard groups and Brauer-Manin obstructions of degree two $$K3$$ surfaces over number fields

“…We are interested in the computation of H * (X(C), Z), where X is a smooth projective variety over k. This can be done effectively, as explained in [Whi57], by embedding X(C) in a Euclidean space, subdividing the Euclidean space into cubes, and intersecting with X(C). When dim X = 2 this has been treated in [Kre10]. When X(C) is isomorphic to a quotient C N /Λ for some N and lattice Λ ⊂ C N this is known and standard.…”