Algebraic Hypermap Morphisms

Algebraic Hypermap Morphisms

Algebraic hypermaps combinatorially describe topological hypermaps, that is, embeddings of hypergraphs on compact orientable surfaces. It turns out that algebraic hypermaps enjoy several properties of Riemann surfaces. For instance, each algebraic hypermap has its genus, and the analogue of Riemann–Hurwitz formula for Riemann surfaces was proved to hold for a quotient hypermap with respect to a...

Morphisms of Algebraic Spaces

MORPHISMS OF ALGEBRAIC SPACES Contents

MORPHISMS OF ALGEBRAIC SPACES Contents

Real algebraic morphisms represent few homotopy classes

We study the problem of representing homotopy classes of maps between real algebraic varieties of regular maps.