TY - JOUR
ID - 1079
TI - A descent method for explicit computations on curves
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Filom, K.
AD - Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran.
Y1 - 2017
PY - 2017
VL - 43
IS - 6
SP - 1989
EP - 2016
KW - Algebraic curves
KW - branched covers
KW - elliptic curves
DO -
N2 - It is shown that the knowledge of a surjective morphism $X\to Y$ of complex curves can be effectively used to make explicit calculations. The method is demonstrated by the calculation of $j(n\tau)$ (for some small $n$) in terms of $j(\tau)$ for the elliptic curve with period lattice $(1,\tau)$, the period matrix for the Jacobian of a family of genus-$2$ curves complementing the classic calculations of Bolza and explicit general formulae for branched covers of an elliptic curve with exactly one ramification point.
UR - http://bims.iranjournals.ir/article_1079.html
L1 - http://bims.iranjournals.ir/article_1079_545c2bcc6cfdf11ec7739e314d3a881f.pdf
ER -