On linear systems of P3 with nine base points

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Maria Chiara Brambilla
  • Olivia Dumitrescu
  • Elisa Postinghel

Organisationseinheiten

Externe Organisationen

  • Università Politecnica delle Marche
  • KU Leuven
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)1551-1574
Seitenumfang24
FachzeitschriftAnnali di Matematica Pura ed Applicata
Jahrgang195
Ausgabenummer5
Frühes Online-Datum4 Sept. 2015
PublikationsstatusVeröffentlicht - Okt. 2016

Abstract

We study special linear systems of surfaces of P3 interpolating nine points in general position having a quadric as fixed component. By performing degenerations in the blown-up space, we interpret the quadric obstruction in terms of linear obstructions for a quasi-homogeneous class. By degeneration, we also prove a Nagata type result for the blown-up projective plane in points that implies a base locus lemma for the quadric. As an application, we establish Laface–Ugaglia Conjecture for linear systems with multiplicities bounded by 8 and for homogeneous linear systems with multiplicity m and degree up to 2 m+ 1.

Zitieren

On linear systems of P3 with nine base points. / Brambilla, Maria Chiara; Dumitrescu, Olivia; Postinghel, Elisa.
in: Annali di Matematica Pura ed Applicata, Jahrgang 195, Nr. 5, 10.2016, S. 1551-1574.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Brambilla MC, Dumitrescu O, Postinghel E. On linear systems of P3 with nine base points. Annali di Matematica Pura ed Applicata. 2016 Okt;195(5):1551-1574. Epub 2015 Sep 4. doi: 10.48550/arXiv.1410.8065, 10.1007/s10231-015-0528-5
Brambilla, Maria Chiara ; Dumitrescu, Olivia ; Postinghel, Elisa. / On linear systems of P3 with nine base points. in: Annali di Matematica Pura ed Applicata. 2016 ; Jahrgang 195, Nr. 5. S. 1551-1574.
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abstract = "We study special linear systems of surfaces of P3 interpolating nine points in general position having a quadric as fixed component. By performing degenerations in the blown-up space, we interpret the quadric obstruction in terms of linear obstructions for a quasi-homogeneous class. By degeneration, we also prove a Nagata type result for the blown-up projective plane in points that implies a base locus lemma for the quadric. As an application, we establish Laface–Ugaglia Conjecture for linear systems with multiplicities bounded by 8 and for homogeneous linear systems with multiplicity m and degree up to 2 m+ 1.",
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N2 - We study special linear systems of surfaces of P3 interpolating nine points in general position having a quadric as fixed component. By performing degenerations in the blown-up space, we interpret the quadric obstruction in terms of linear obstructions for a quasi-homogeneous class. By degeneration, we also prove a Nagata type result for the blown-up projective plane in points that implies a base locus lemma for the quadric. As an application, we establish Laface–Ugaglia Conjecture for linear systems with multiplicities bounded by 8 and for homogeneous linear systems with multiplicity m and degree up to 2 m+ 1.

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