The Cox ring of the space of complete rank two collineations | Zendy

Hausen Jürgen | Zendy; Liebendörfer Michael | Zendy

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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.

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