An extension of the Siegel space of complex abelian varieties and conjectures on stability structures

Fabian Haiden

doi:10.1007/s00229-019-01146-5

An extension of the Siegel space of complex abelian varieties and conjectures on stability structures

Fabian Haiden

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

We study semi-algebraic domains associated with symplectic tori and conjecturally identified with spaces of stability conditions on the Fukaya categories of these tori. Our motivation is to test which results from the theory of flat surfaces could hold for more general spaces of stability conditions. The main results concern systolic bounds and volume of the moduli space.

Original language	English
Journal	Manuscripta Mathematica
Volume	163
Issue number	1-2
Pages (from-to)	87-111
ISSN	0025-2611
DOIs	https://doi.org/10.1007/s00229-019-01146-5
Publication status	Published - 1. Sept 2020
Externally published	Yes

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10.1007/s00229-019-01146-5Licence: CC BY

1808.06364v1Submitted manuscript, 301 KB
Open access versionFinal published version, 378 KBLicence: CC BY

Cite this

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An extension of the Siegel space of complex abelian varieties and conjectures on stability structures

Abstract

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