Seshadri's criterion and openness of projectivity

TL;DR

This paper proves that projectivity remains open under deformations for algebraic spaces with rational singularities, contributing to the understanding of deformation theory in algebraic geometry.

Contribution

It establishes that projectivity is an open condition for deformations of algebraic spaces with rational singularities, advancing deformation theory.

Findings

Projectivity is an open condition for deformations.

Applicable to algebraic spaces with rational singularities.

Enhances understanding of deformation stability in algebraic geometry.

Abstract

We prove that projectivity is an open condition for deformations of algebraic spaces with rational singularities. V.2: references updated and corrected.