Description

Adds a "Reverse Proxy (nginx)" section to the HTTP deployment documentation, addressing the common question of how to deploy FastMCP behind nginx on Linux (closes #104).

The new section covers:

• systemd service: a unit file for running FastMCP as a Linux background service
• nginx configuration: complete config with SSE-specific settings (proxy_buffering off, long timeouts, proxy_http_version 1.1)
• Key considerations: checklist of common pitfalls (buffering, timeouts, headers, TLS)
• Path prefix mounting: nginx location block for subpath deployments

The section is placed between "Production Deployment" and "Testing Your Deployment" in the existing HTTP deployment page, which is the natural location for reverse proxy guidance that builds on the production setup.

# The existing ASGI app pattern works unchanged behind nginx:
from fastmcp import FastMCP

mcp = FastMCP("My Server")

@mcp.tool
def process_data(input: str) -> str:
    return f"Processed: {input}"

app = mcp.http_app()
# Run with: uvicorn app:app --host 127.0.0.1 --port 8000
# nginx proxies from https://mcp.example.com → http://127.0.0.1:8000

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Contributors Checklist

• My change closes How to host in Linux server Via nginx? #104
• I have followed the repository's development workflow
• I have tested my changes manually and by adding relevant tests
• I have performed all required documentation updates

Review Checklist

• I have self-reviewed my changes
• My Pull Request is ready for review