Javax.servlet does not exist, Why does Maven swear when building?

Question

Java

When building, maven swears at the lines:

import javax.servlet.ServletException; //package javax.servlet does not exist
import javax.servlet.annotation.WebServlet; //package javax.servlet.annotation does not exist
import javax.servlet.http.HttpServlet; //package javax.servlet.http does not exist
import javax.servlet.http.HttpServletRequest;
import javax.servlet.http.HttpServletResponse;

And not only on these.

Why is that? With a simple start, everything is OK, but when building maven, what's wrong? These libs are added via "Project structure / libs".
pom.xml:

<?xml version="1.0" encoding="UTF-8"?>
<project xmlns="http://maven.apache.org/POM/4.0.0"
         xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
         xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
    <modelVersion>4.0.0</modelVersion>

    <groupId>groupId</groupId>
    <artifactId>WebBD</artifactId>
    <version>1.0-SNAPSHOT</version>
    <packaging>jar</packaging>
    <properties>
        <tomcat.version>8.5.23</tomcat.version>
    </properties>
    <dependencyManagement>
        <dependencies>
            <dependency>
            <groupId>javax.servlet</groupId>
            <artifactId>javax.servlet-api</artifactId>
            <version>3.0.1</version>
            <scope>provided</scope>
        </dependency>
            <dependency>
                <groupId>org.apache.tomcat.embed</groupId>
                <artifactId>tomcat-embed-core</artifactId>
                <version>${tomcat.version}</version>
            </dependency>
            <dependency>
                <groupId>org.apache.tomcat.embed</groupId>
                <artifactId>tomcat-embed-jasper</artifactId>
                <version>${tomcat.version}</version>
            </dependency>
            <dependency>
                <groupId>org.apache.tomcat</groupId>
                <artifactId>tomcat-jasper</artifactId>
                <version>${tomcat.version}</version>
            </dependency>
            <dependency>
                <groupId>org.apache.tomcat</groupId>
                <artifactId>tomcat-jasper-el</artifactId>
                <version>${tomcat.version}</version>
            </dependency>
            <dependency>
                <groupId>org.apache.tomcat</groupId>
                <artifactId>tomcat-jsp-api</artifactId>
                <version>${tomcat.version}</version>
            </dependency>
    </dependencies>
</dependencyManagement>
    <build>
        <finalName>embeddedTomcatSample</finalName>
        <pluginManagement>
        <plugins>
            <plugin>
                <groupId>org.codehaus.mojo</groupId>
                <artifactId>appassembler-maven-plugin</artifactId>
                <version>2.0.0</version>
                <configuration>
                    <assembleDirectory>target</assembleDirectory>
                    <programs>
                        <program>
                            <mainClass>Main</mainClass>
                            <name>webapp</name>
                        </program>
                    </programs>
                </configuration>
                <executions>
                    <execution>
                        <phase>package</phase>
                        <goals>
                            <goal>assemble</goal>
                        </goals>
                    </execution>
                </executions>
            </plugin>
        </plugins>
        </pluginManagement>
    </build>
</project>