In this note, we construct two minimal surfaces of general type with geometric genus , irregularity , self-intersection of the canonical divisor such that their canonical map is of degree . In one of these surfaces, the canonical linear system has a non-trivial fixed part. These surfaces, to our knowledge, are the first examples of minimal surfaces of general type with canonical map of degree .
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@article{CRMATH_2021__359_9_1145_0, author = {Bin, Nguyen}, title = {Some examples of algebraic surfaces with canonical map of degree~20}, journal = {Comptes Rendus. Math\'ematique}, pages = {1145--1153}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {9}, year = {2021}, doi = {10.5802/crmath.267}, language = {en}, url = {http://www.numdam.org/articles/10.5802/crmath.267/} }
TY - JOUR AU - Bin, Nguyen TI - Some examples of algebraic surfaces with canonical map of degree 20 JO - Comptes Rendus. Mathématique PY - 2021 SP - 1145 EP - 1153 VL - 359 IS - 9 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.267/ DO - 10.5802/crmath.267 LA - en ID - CRMATH_2021__359_9_1145_0 ER -
%0 Journal Article %A Bin, Nguyen %T Some examples of algebraic surfaces with canonical map of degree 20 %J Comptes Rendus. Mathématique %D 2021 %P 1145-1153 %V 359 %N 9 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.267/ %R 10.5802/crmath.267 %G en %F CRMATH_2021__359_9_1145_0
Bin, Nguyen. Some examples of algebraic surfaces with canonical map of degree 20. Comptes Rendus. Mathématique, Tome 359 (2021) no. 9, pp. 1145-1153. doi : 10.5802/crmath.267. http://www.numdam.org/articles/10.5802/crmath.267/
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