https://www.ellipticcurve.info/Genus/history?feed=atom Genus - Revision history 2026-05-06T05:40:40Z Revision history for this page on the wiki MediaWiki 1.42.3 https://www.ellipticcurve.info/index.php?title=Genus&diff=298&oldid=prev Rational Point: def 2025-01-14T21:02:54Z <p>def</p> <p><b>New page</b></p><div>The &#039;&#039;&#039;genus&#039;&#039;&#039; of an algebraic curve has several definitions which are proven to agree by various theorems.<br /> <br /> The geometric genus of an algebraic curve of degree &#039;&#039;d&#039;&#039; and count of singularities &#039;&#039;s&#039;&#039; is determined by the [[Riemann–Roch theorem]] to be &lt;ref&gt;Wikipedia: Geometric genus https://en.wikipedia.org/wiki/Geometric_genus&lt;/ref&gt;<br /> <br /> :&lt;math&gt;g=\frac{(d-1)(d-2)}2-s&lt;/math&gt;.</div> Rational Point