<script>  
  var stickyCartButton = document.querySelector("#upCartStickyButton");  
  
  if (  
    stickyCartButton &&  
    (document.location.pathname === "/" + Shopify.locale ||  
     document.location.pathname === "/")  
  ) {  
    stickyCartButton.classList.add("hide-sticky-cart-button");  
  }  
</script>

.hide-sticky-cart-button {     
  display: none;   
}