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A FRAMEWORK FOR TORSION THEORY COMPUTATIONS ON ELLIPTIC THREEFOLDS

Part of: (Co)homology theory

Published online by Cambridge University Press:  14 May 2020

DAVID ANGELES ,
JASON LO  and
COURTNEY M. VAN DER LINDEN
DAVID ANGELES*
Affiliation:
Department of Statistics, The Ohio State University, 1958 Neil Ave, Columbus, OH43210, USA
JASON LO
Affiliation:
Department of Mathematics, California State University, Northridge, 18111 Nordhoff Street, Northridge, CA91330, USA e-mail: jason.lo@csun.edu
COURTNEY M. VAN DER LINDEN
Affiliation:
Department of Mathematics, California State University, Northridge, 18111 Nordhoff Street, Northridge, CA91330, USA e-mail: courtney.vanderlinden.727@my.csun.edu
*
e-mail: angeles.6@osu.edu
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Abstract

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.

Keywords

torsion pairtorsion theoryt-structureelliptic threefold

MSC classification

Primary: 14F05: Sheaves, derived categories of sheaves and related constructions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 110 , Issue 2 , April 2021 , pp. 175 - 193
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

Communicated by D. Chan

Partially supported by NSF-DMS 1247679 grant PUMP: Preparing Undergraduates through Mentoring towards PhD’s.

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