الفهرس | Only 14 pages are availabe for public view |
Abstract This thesis deals with the geometey of the algebraic curves and their jacobians. Its main purpose is the study of the group generated in the jacobian by the sextactic points for 2. Asmooth point P E C is called aflex point if the tangent line Tp meets C at p with intersection multiplicity at least three. IP (C;TP ) 3. Let P beanon-exsmoothpointonaplanecurve C ofdegree d 3. Then thereisauniqueirreducibleconic P intersectingthecurve C withintersection multiplicity IP (C;P ) 5. Thisconic P iscalledthe osculatingconic of C at P. Inthiscase,thispoint P 2 C iscalleda sextacticpoint iftheosculatingconic P meets C at P withintersectionmultiplicityatleastsix,i.e.,if IP (C;P ) 6 and theosculatingconiciscalleda sextacticconic. Furthermore,asextacticpoint P 2 C iscalled s-sextactic if s = IP (C;P ) |