Seiberg-Witten Invariants and the Van De Ven Conjecture

TL;DR

This paper provides a concise proof that any complex surface diffeomorphic to a rational surface must itself be rational, clarifying the relationship between topology and algebraic structure in complex surfaces.

Contribution

It offers a new, self-contained proof of the Van De Ven conjecture linking diffeomorphism and rationality in complex surfaces.

Findings

Proof confirms the Van De Ven conjecture for complex surfaces.

Establishes that diffeomorphic complex surfaces to rational surfaces are themselves rational.

Simplifies understanding of the relationship between topology and algebraic geometry in complex surfaces.

Abstract

The purpose of this note is to give a short, selfcontained proof of the following result: A complex surface which is diffeomeorphic to a rational surface is rational.