Open AccessOn the Cox ring of $\mathbf{P}^2$ blown up in points on a line
Author(s) -
John Christian Ottem
Publication year - 2011
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-15175
Subject(s) - mathematics , ideal (ethics) , finitely generated abelian group , ring (chemistry) , line (geometry) , pure mathematics , combinatorics , discrete mathematics , geometry , epistemology , chemistry , philosophy , organic chemistry
We show that the blow-up of P^2 in n points on a line has finitely generated Cox ring. We give explicit generators for the ring and calculate its defining ideal of relations.The final version of this research was originally published in: Mathematica Scandinavica. © Mathematica Scandinavica