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A FRAMEWORK FOR TORSION THEORY COMPUTATIONS ON ELLIPTIC THREEFOLDS

Published online by Cambridge University Press:  14 May 2020

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

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.

Type
Research Article
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.

References

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