On the Clifford theorem for surfaces

TL;DR

This paper extends the classical Clifford theorem to algebraic surfaces and uses these generalizations to derive bounds on the moduli space of surfaces of general type.

Contribution

It introduces two new generalizations of the Clifford theorem specifically for algebraic surfaces, expanding its applicability.

Findings

Derived bounds for the number of moduli of surfaces of general type

Extended Clifford theorem to higher-dimensional algebraic varieties

Provided theoretical tools for studying surface moduli spaces

Abstract

We give two generalizations of the Clifford theorem to algebraic surfaces. As an application, we obtain some bounds for the number of moduli of surfaces of general type.