In Snowflake, schema objects refer to structures that directly relate to managing data within a database schema. A 'Pipe' is used to handle the continuous loading of data into Snowflake tables which is essential for data management within a schema. 'File format' defines the format of files that are to be loaded into tables or unloaded from them. These play a crucial role in how data is formatted and ingested into database tables, thus qualifying as schema objects.