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This can be achieved with a schema filter. For this proof of concept, I based the filter on a custom attribute:

```C#
[AttributeUsage(AttributeTargets.Property)]
public class GreaterThanAttribute(double exclusiveMinimum) : Attribute
{
	public double ExclusiveMinimum { get; } = exclusiveMinimum;
}
```

```C#
public class GreaterThanFilter : ISchemaFilter
{
	public void Apply(OpenApiSchema schema, SchemaFilterContext context)
	{
		if (context.MemberInfo?.MemberType == MemberTypes.Property)
		{
			var attr = context.MemberInfo.GetCustomAttribute<GreaterThanAttribute>();
			if (attr != null)
			{
				schema.ExclusiveMinimum = true;
				schema.Minimum = (decimal)attr.ExclusiveMinimum;
			}
		}
	}
}
```

Add the schema filter to `SwaggerGenOptions`:
```C#
services.AddSwaggerGen(options => options.SchemaFilter<GreaterThanFilter>());
```

The attributes that Swashbuckle recognizes by default are also recognized by EF Core. For consistency, you could also look for your custom attribute in your EF context `OnModelCreating` and make corresponding changes to the EF model.