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The Cox ring of the space of complete rank two collineations
Author(s) -
Hausen Jürgen,
Liebendörfer Michael
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100043
Subject(s) - mathematics , rank (graph theory) , quotient , limit (mathematics) , space (punctuation) , ring (chemistry) , action (physics) , combinatorics , pure mathematics , algebra over a field , mathematical analysis , physics , quantum mechanics , philosophy , linguistics , chemistry , organic chemistry
We consider the space of complete rank two collineations. Starting from its description as a limit of GIT‐quotients of a Grassmanian G (2, n ) by a certain \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {C}^*$\end{document} ‐action, we determine the Cox ring by means of toric ambient modifications.