Z-linear Gale duality and poly weighted spaces (PWS)
Autor: | Lea Terracini, Michele Rossi |
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Přispěvatelé: | Rossi, M, Terracini, L |
Rok vydání: | 2016 |
Předmět: |
Numerical Analysis
Factorial Algebra and Number Theory 010102 general mathematics Smith normal form Weighted projective space 01 natural sciences Hermite normal form Combinatorics Algebra Mathematics - Algebraic Geometry Gale duality 0103 physical sciences Q-factorial complete toric varietie FOS: Mathematics Torsion (algebra) Discrete Mathematics and Combinatorics 010307 mathematical physics Geometry and Topology 0101 mathematics Algebraic number Algebraic Geometry (math.AG) Mathematics |
Zdroj: | Linear Algebra and its Applications. 495:256-288 |
ISSN: | 0024-3795 |
DOI: | 10.1016/j.laa.2016.01.039 |
Popis: | The present paper is devoted to discussing Gale duality from the Z-linear algebraic point of view. This allows us to isolate the class of Q-factorial complete toric varieties whose class group is torsion free, here called poly weighted spaces (PWS), as an interesting generalization of weighted projective spaces (WPS). Comment: 29 pages: revised version to appear in Linear Algebra and Its Applications. Major changes: the paper has been largely rewritten following refree's comments. In particular, main geometric results have been anticipated giving rise to the motivational Section 2 |
Databáze: | OpenAIRE |
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