A FRAMEWORK FOR TORSION THEORY COMPUTATIONS ON ELLIPTIC THREEFOLDS

We give a list of statements on the geometry of elliptic threefolds phrased only in the language of topology and homological algebra. Using only notions from topology and homological algebra, we recover existing results and prove new results on torsion pairs in the category of coherent sheaves on an...

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Published inJournal of the Australian Mathematical Society (2001) Vol. 110; no. 2; pp. 175 - 193
Main Authors ANGELES, DAVID, LO, JASON, VAN DER LINDEN, COURTNEY M.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.04.2021
Subjects
Homology
Sheaves
Topology
torsion pair
14F05
t-structure
elliptic threefold
torsion theory
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Summary:We give a list of statements on the geometry of elliptic threefolds phrased only in the language of topology and homological algebra. Using only notions from topology and homological algebra, we recover existing results and prove new results on torsion pairs in the category of coherent sheaves on an elliptic threefold.
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ISSN:1446-7887
1446-8107
DOI:10.1017/S144678872000018X