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Fishing for complements

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Fishing for complements. / Angeleri Hugel, Lidia; Pauksztello, David; Vitoria, Jorge.
In: Nagoya Mathematical Journal, 07.07.2025.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Angeleri Hugel, L, Pauksztello, D & Vitoria, J 2025, 'Fishing for complements', Nagoya Mathematical Journal. https://doi.org/10.1017/nmj.2025.10070

APA

Angeleri Hugel, L., Pauksztello, D., & Vitoria, J. (2025). Fishing for complements. Nagoya Mathematical Journal. Advance online publication. https://doi.org/10.1017/nmj.2025.10070

Vancouver

Angeleri Hugel L, Pauksztello D, Vitoria J. Fishing for complements. Nagoya Mathematical Journal. 2025 Jul 7. Epub 2025 Jul 7. doi: 10.1017/nmj.2025.10070

Author

Angeleri Hugel, Lidia ; Pauksztello, David ; Vitoria, Jorge. / Fishing for complements. In: Nagoya Mathematical Journal. 2025.

Bibtex

@article{f44c8c3fa0cb4923b26e6385a349f4b9,
title = "Fishing for complements",
abstract = "Given a presilting object in a triangulated category, we find necessary and sufficient conditions for the existence of a complement. This is done both for classic (pre)silting objects and for large (pre)silting objects. The key technique is the study of associated co-t-structures. As a consequence of our techniques we recover some known cases of the existence of complements, including for derived categories of some hereditary abelian categories and for silting-discrete algebras. Moreover, we also show that a finite-dimensional algebra is silting discrete if and only if every bounded large silting complex is equivalent to a compact one.",
author = "{Angeleri Hugel}, Lidia and David Pauksztello and Jorge Vitoria",
year = "2025",
month = jul,
day = "7",
doi = "10.1017/nmj.2025.10070",
language = "English",
journal = "Nagoya Mathematical Journal",
issn = "0027-7630",
publisher = "Cambridge: Cambridge University Press.",

}

RIS

TY - JOUR

T1 - Fishing for complements

AU - Angeleri Hugel, Lidia

AU - Pauksztello, David

AU - Vitoria, Jorge

PY - 2025/7/7

Y1 - 2025/7/7

N2 - Given a presilting object in a triangulated category, we find necessary and sufficient conditions for the existence of a complement. This is done both for classic (pre)silting objects and for large (pre)silting objects. The key technique is the study of associated co-t-structures. As a consequence of our techniques we recover some known cases of the existence of complements, including for derived categories of some hereditary abelian categories and for silting-discrete algebras. Moreover, we also show that a finite-dimensional algebra is silting discrete if and only if every bounded large silting complex is equivalent to a compact one.

AB - Given a presilting object in a triangulated category, we find necessary and sufficient conditions for the existence of a complement. This is done both for classic (pre)silting objects and for large (pre)silting objects. The key technique is the study of associated co-t-structures. As a consequence of our techniques we recover some known cases of the existence of complements, including for derived categories of some hereditary abelian categories and for silting-discrete algebras. Moreover, we also show that a finite-dimensional algebra is silting discrete if and only if every bounded large silting complex is equivalent to a compact one.

U2 - 10.1017/nmj.2025.10070

DO - 10.1017/nmj.2025.10070

M3 - Journal article

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

SN - 0027-7630

ER -