http://openproblemgarden.org/op/the_hodge_conjecture Comments for "The Hodge Conjecture" en http://openproblemgarden.org/op/the_hodge_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/hodge_w_v_d">Hodge</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/geometry">Geometry</a> » <a href="/category/algebraic_geometry">Algebraic Geometry</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; Let <img class="teximage" src="/files/tex/302cdeba125e821f3406302c9789229d48f42ea7.png" alt="$ X $" /> be a complex projective variety. Then every Hodge class is a rational linear combination of the cohomology classes of complex subvarieties of <img class="teximage" src="/files/tex/302cdeba125e821f3406302c9789229d48f42ea7.png" alt="$ X $" />. </div> </tr></td> </table> </td> </tr> </table> Hodge, W. V. D. Hodge Theory Millenium Problems Geometry Algebraic Geometry http://openproblemgarden.org/op/the_hodge_conjecture#comment Sun, 13 Jul 2008 08:32:55 +0200 Charles 1803 at http://openproblemgarden.org