Your filter looks good, except that any subsection of the "marked" section 
will remain present... but perhaps that's what you want.

If not, or if anyone else would like to remove all subsections of that 
section, the following seems to work:

local looking_at_section = false
local remove = {}
local lvl = 0

function Block (elem)
  if looking_at_section then
    remove[#remove + 1] = elem
    return {}
  end
end

function Header (elem)
  if elem.identifier == 'remove' then
    looking_at_section = true
    lvl = elem.level
    return {}
  else
    looking_at_section = looking_at_section and elem.level > lvl
    if looking_at_section then
      remove[#remove + 1] = elem
      return {}
    end
  end
end

The original filter has the same problem... but an abstract usually doesn't 
have subsections/sublevels (I think).

Note also that usually an identifier should identify only one element, and 
pandoc will (rightly) be annoyed when there's more than one header with the 
same ID.
A class would be ideal for this situation, and one might then use `if 
elem.classes:includes('remove',1)` rather than `if elem.identifier == 
'remove'`

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