Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Marti Lahoz
- Manfred Lehn
- Emanuele Maori
- Paolo Stellari
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000433654500004&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1016/j.matpur.2017.09.004
- eISSN
- 1776-3371
- Externe Identifier
- Clarivate Analytics Document Solution ID: GH7SU
- ISSN
- 0021-7824
- Zeitschrift
- JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
- Schlüsselwörter
- Generalized twisted cubics
- Arithmetically Cohen-Macaulay
- vector bundles
- Cubic fourfolds
- Paginierung
- 85 - 117
- Datum der Veröffentlichung
- 2018
- Status
- Published
- Titel
- Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
- Sub types
- Article
- Ausgabe der Zeitschrift
- 114
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Autoren
- Martí Lahoz
- Manfred Lehn
- Emanuele Macrì
- Paolo Stellari
- DOI
- 10.1016/j.matpur.2017.09.004
- ISSN
- 0021-7824
- Zeitschrift
- Journal de Mathématiques Pures et Appliquées
- Sprache
- en
- Paginierung
- 85 - 117
- Datum der Veröffentlichung
- 2018
- Status
- Published
- Herausgeber
- Elsevier BV
- Herausgeber URL
- http://dx.doi.org/10.1016/j.matpur.2017.09.004
- Datum der Datenerfassung
- 2022
- Titel
- Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
- Ausgabe der Zeitschrift
- 114
Data source: Crossref
- Abstract
- We revisit the work of Lehn-Lehn-Sorger-van Straten on twisted cubic curves in a cubic fourfold not containing a plane in terms of moduli spaces. We show that the blow-up $Z'$ along the cubic of the irreducible holomorphic symplectic eightfold $Z$, described by the four authors, is isomorphic to an irreducible component of a moduli space of Gieseker stable torsion sheaves or rank three torsion free sheaves. For a very general such cubic fourfold, we show that $Z$ is isomorphic to a connected component of a moduli space of tilt-stable objects in the derived category and to a moduli space of Bridgeland stable objects in the Kuznetsov component. Moreover, the contraction between $Z'$ and $Z$ is realized as a wall-crossing in tilt-stability. Finally, $Z$ is birational to an irreducible component of Gieseker stable aCM bundles of rank six.
- Autoren
- Martí Lahoz
- Manfred Lehn
- Emanuele Macrì
- Paolo Stellari
- Autoren-URL
- http://arxiv.org/abs/1609.04573v3
- Schlüsselwörter
- math.AG
- math.AG
- Notes
- 34 pages. Minor revisions. Final version to appear in J. Math. Pures Appl
- Datum der Veröffentlichung
- 2016
- Datum der Datenerfassung
- 2016
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2016
- Titel
- Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
Files
1609.04573v3.pdf
Data source: arXiv
- Autoren
- Martí Lahoz
- Manfred Lehn
- Emanuele Macrì
- Paolo Stellari
- DOI
- 10.1016/j.matpur.2017.09.004
- ISSN
- 0021-7824
- Zeitschrift
- Journal de Mathématiques Pures et Appliquées. Neuvième Série
- Notes
- mrclass: 14D20 (14E08 14F05 18E30) mrnumber: 3801751 mrreviewer: Rebecca Tramel
- Paginierung
- 85 - 117
- Datum der Veröffentlichung
- 2018
- Herausgeber URL
- https://doi.org/10.1016/j.matpur.2017.09.004
- Datum der Datenerfassung
- 2019
- Titel
- Generalized twisted cubics on a cubic fourfold as a moduli space of stable objects
- Sub types
- article
- Ausgabe der Zeitschrift
- 114
Data source: Manual
- Beziehungen:
- Property of