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arXiv.org e-Print Archive
Preprint . 2022
Data sources: arXiv.org e-Print Archive
Experimental Mathematics
Article . 2023 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2022
License: arXiv Non-Exclusive Distribution
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Intersection Numbers on Fibrations and Catalan Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 19 Dec 2023Embargo end date: 01 Jan 2022 English Publisher:Informa UK LimitedJournal:Experimental Mathematics, volume 33, pages 768-775 (issn: 1058-6458, eissn: 1944-950X, Copyright policy )Funded by:NSF | RUI: Symmetries, Stabilit...
Authors: Rimma Hämäläinen; Jason Lo; Edward Morales;

doi: 10.1080/10586458.2023.2293292 , 10.48550/arxiv.2210.02001

arXiv: http://arxiv.org/abs/2210.02001

Intersection Numbers on Fibrations and Catalan Numbers

Abstract

On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.

9 pages

Related Organizations
Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 14J27, 14F08 (Primary) 05E14, 05A15 (Secondary), Algebraic Geometry (math.AG)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green