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

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstrakt

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.

Originalsprog	Engelsk
Tidsskrift	Manuscripta Mathematica
Vol/bind	163
Udgave nummer	1-2
Sider (fra-til)	87-111
ISSN	0025-2611
DOI	https://doi.org/10.1007/s00229-019-01146-5
Status	Udgivet - 1. sep. 2020
Udgivet eksternt	Ja

Emneord

math.SG
math.AG

Dokumenter og links

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

1808.06364v1Indsendt manuskript, 301 KB
Open access versionForlagets udgivne version, 378 KBLicens: CC BY

Citationsformater

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

Abstrakt

Emneord

Dokumenter og links

Fingeraftryk

Citationsformater