> My copy of biblatex.4ht is dated 2010-12-18-17:25.

I wrote that it has to be the one dated 26.9.2010. It works with
Biblatex 1.5a. Find it attached.
Daniel
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% biblatex.4ht                          2010-09-26-22:40 %
% Copyright (C) 2007--2010       Eitan M. Gurari         %
%                                                        %
% This work may be distributed and/or modified under the %
% conditions of the LaTeX Project Public License, either %
% version 1.3c of this license or (at your option) any   %
% later version. The latest version of this license is   %
% in                                                     %
%   http://www.latex-project.org/lppl.txt                %
% and version 1.3c or later is part of all distributions %
% of LaTeX version 2005/12/01 or later.                  %
%                                                        %
% This work has the LPPL maintenance status "maintained".%
%                                                        %
% This Current Maintainer of this work                   %
% is the TeX4ht Project <[email protected]>.                %
%                                                        %
% If you modify this program your changing its signature %
% with a directive of the following form will be         %
% appreciated.                                           %
%            \message{signature}                         %
%                                                        %
%                                        [email protected]  %
%                             http://www.tug.org/tex4ht  %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\immediate\write-1{version 2010-09-26-22:40}

   \ifx \blx@startbib\:UnDef
      \pend:def\blx@shorthands{%
   \pend:def\blx@bibinit{%
       \HAssign\shorthands:cnt=0
       \NewConfigure{printfield-shorthand}{2}%
       \Configure{printfield-shorthand}%
         {\gHAdvance\shorthands:cnt by 1\relax
          \ifnum \shorthands:cnt=1 \a:printshorthands
          \else                    \c:printshorthands \fi
         }
         {\d:printshorthands}%
   \append:def\endtheshorthands{\b:printshorthands}%
   \csname a:@shorthands\endcsname
}}
\NewConfigure{printshorthands}{4}
\NewConfigure{@shorthands}[1]{\concat:config\a:@shorthands{#1}}
\let\a:@shorthands\empty
\def\nolinkurl{\o:url:}
\pend:def\blx@bibliography{%
  \pend:def\blx@bibinit{%
     \ConfigureList{thebibliography}%
        {\a:thebibliography}%
        {\b:thebibliography}%
        {\c:thebibliography}%
        {\d:thebibliography}%
     \csname onthebibliography:list\endcsname
  }%
%  \pend:def\endthebibliography{%
%     \if@newlist \global\@newlistfalse \fi
%  }%
}
\protected\def\blx@finentry{%
  \unspace
  \a:finentry
      \finentrypunct
      \blx@postpunct
  \b:finentry
  \blx@initunit
}
\NewConfigure{finentry}{2}
\def\:tempc[#1]#2{%
   \expandafter\ifx \csname a:printfield-#2\endcsname\relax
      \NewConfigure{printfield-#2}{2}%
      \a:printfield{printfield-#2}%
   \fi
   \Configure{blx@unit}%
       {\csname a:printfield-#2\endcsname}%
       {\csname b:printfield-#2\endcsname}%
   \csname o:\string\blx@printfield:\endcsname[#1]{#2}%
}
\expandafter\HLet\csname\string\blx@printfield\endcsname\:tempc
\NewConfigure{printfield}[1]{\def\a:printfield##1{#1}}
\Configure{printfield}{%
    \Configure{#1}%
       {\HCode{<!--#1-->}}%
       {\HCode{<!--/#1-->}}%
}
\def\:tempc[#1]#2{%
   \expandafter\ifx \csname a:bibstring-#2\endcsname\relax
      \NewConfigure{bibstring-#2}{2}%
      \a:printfield{bibstring-#2}%
   \fi
   \Configure{blx@unit}%
       {\csname a:bibstring-#2\endcsname}%
       {\csname b:bibstring-#2\endcsname}%
   \csname o:\string\blx@bibstring:\endcsname[#1]{#2}%
}
\expandafter\HLet\csname\string\blx@bibstring\endcsname\:tempc
\def\:tempc[#1]#2{%
   \expandafter\ifx \csname a:bibcpstring-#2\endcsname\relax
      \NewConfigure{bibcpstring-#2}{2}%
      \a:printfield{bibcpstring-#2}%
   \fi
   \Configure{blx@unit}%
       {\csname a:bibcpstring-#2\endcsname}%
       {\csname b:bibcpstring-#2\endcsname}%
   \csname o:\string\blx@bibcpstring:\endcsname[#1]{#2}%
}
\expandafter\HLet\csname\string\blx@bibcpstring\endcsname\:tempc
\def\:tempc[#1]#2{%
   \expandafter\ifx \csname a:biblcstring-#2\endcsname\relax
      \NewConfigure{biblcstring-#2}{2}%
      \a:printfield{biblcstring-#2}%
   \fi
   \Configure{blx@unit}%
       {\csname a:biblcstring-#2\endcsname}%
       {\csname b:biblcstring-#2\endcsname}%
   \csname o:\string\blx@biblcstring:\endcsname[#1]{#2}%
}
\expandafter\HLet\csname\string\blx@biblcstring\endcsname\:tempc
\def\:tempc[#1]#2{%
   \expandafter\ifx \csname a:bibucstring-#2\endcsname\relax
      \NewConfigure{bibucstring-#2}{2}%
      \a:printfield{bibucstring-#2}%
   \fi
   \Configure{blx@unit}%
       {\csname a:bibucstring-#2\endcsname}%
       {\csname b:bibucstring-#2\endcsname}%
   \csname o:\string\blx@bibucstring:\endcsname[#1]{#2}%
}
\expandafter\HLet\csname\string\blx@bibucstring\endcsname\:tempc
\NewConfigure{biblatex-style}[2]{%
   \def\:temp{#1}%
   \ifx \:temp\blx@cbxfile
      #2%
      \global\let\biblatex:style\def
   \fi
}
\pend:def\at:docend{%
   \ifx \UnDef\biblatex:style
      \:warning{\string\Configure{biblatex-style}{\blx@cbxfile}{...}
         not available}%
   \fi
}
\let\blx:item\@item
\def\@item[#1]{%
  \blx:item[#1]%
  \ifhmode \spacefactor\blx@sf@par\fi
}
\let\blx@resetpuncthook\@empty
\let\blx@csq@ifkernmark\@empty
\def\blx@begunit{%
  \toggletrue{blx@tempa}%
  \iftoggle{blx@insert}%
    {\iftoggle{blx@unit}%
       {\begingroup
          \let\blx@begunit\@empty
          \let\blx@endunit\@empty
          \blx@unitpunct\blx@postpunct
        \endgroup
        \global\togglefalse{blx@unit}%
        \togglefalse{blx@tempa}}
       {\blx@postpunct}%
     \iftoggle{blx@block}%
       {\begingroup
          \let\blx@begunit\@empty
          \let\blx@endunit\@empty
          \newblockpunct
        \endgroup
        \global\togglefalse{blx@block}%
        \togglefalse{blx@tempa}}%
       {}}%
    {}%
  \blx@postpunct
  \blx@resetpuncthook
  \iftoggle{blx@tempa}%
    {}%
    {\global\togglefalse{blx@insert}}%
  \csname a:blx@unit\endcsname
  \blx@leavevmode
  \blx@csq@ifkernmark
    {}%
    {\penalty\@M
     \hskip-\blx@unitmark\relax
     \hskip\blx@unitmark\relax}%
  \begingroup
    \Configure{blx@unit}{}{}%
}
\def\blx@endunit{%
  \endgroup
  \csname b:blx@unit\endcsname
  \Configure{blx@unit}{}{}%
  \ifdim\lastskip=\blx@unitmark
    \unskip\unskip\unpenalty
    \global\togglefalse{blx@lastins}%
  \else
    \global\toggletrue{blx@insert}%
    \global\toggletrue{blx@lastins}%
  \fi
}
\NewConfigure{blx@unit}{2}

   \else
      
   \fi
   \NewConfigure{thebibliography}{4}
\append:def\blx@bibinit{\a:bibinit}%
\NewConfigure{bibinit}{1}%

   \let\blx@anchors\@empty
%\let\bib@field@entrykey\@empty
\def\bib@field@entrykey{\thefield{entrykey}}%
\protected\def\blx@anchor{%
  \xifinlist{X\the\c@refsection -%@
\bib@field@entrykey}{\blx@anchors}%
    {}%
    {\listxadd\blx@anchors{X\the\c@refsection -%@
\bib@field@entrykey}%
     \hyper:natanchorstart{X\the\c@refsection -%@
\bib@field@entrykey}%
     \hyper:natanchorend}}
\protected\def\blx@bibhyperref{%
   \@ifnextchar[%]
     {\blx@bibhyperref@i}%
     {\blx@bibhyperref@i[\bib@field@entrykey]}}%
\long\def\blx@bibhyperref@i[#1]#2{%
   \hyper:natlinkstart{X\the\c@refsection -%@
#1}%
   #2\hyper:natlinkend}%
\protected\long\def\blx@bibhyperlink#1#2{%
   \hyper:natlinkstart{X\the\c@refsection --%:
#1}%
   #2\hyper:natlinkend}%
\protected\long\def\blx@bibhypertarget#1#2{%
   \@bsphack
   \hyper:natanchorstart{X\the\c@refsection --%:
#1}%
   \@esphack
   #2\hyper:natanchorend}%
\let\blx@ifhyperref\@firstoftwo
\def\hyper:natanchorstart#1{\Link{}{#1}\EndLink}
\def\hyper:natanchorend{}
\def\hyper:natlinkstart#1{\Link{#1}{}}
\def\hyper:natlinkend{\EndLink}

   \let\:temp\do
  \def\do#1{%
    \patchcmd#1%
      {\color@begingroup}%
      {\color@begingroup\toggletrue{blx@footnote}}%
      {\togglefalse{blx@tempa}\listbreak}%
      {}}%
  \docsvlist{%
    \@footnotetext,%          latex
    \H@@footnotetext,%        hyperref
    \scr@saved@footnotetext,% koma-script 3.x
    \l@dold@footnotetext,%    ledmac
    \l@doldold@footnotetext,% ledmac
    \@fntORI}%                frenchle
\let\do\:temp

\Hinput{biblatex}
\endinput

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