Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1551-1574 |
Seitenumfang | 24 |
Fachzeitschrift | Annali di Matematica Pura ed Applicata |
Jahrgang | 195 |
Ausgabenummer | 5 |
Frühes Online-Datum | 4 Sept. 2015 |
Publikationsstatus | Veröffentlicht - Okt. 2016 |
Abstract
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in: Annali di Matematica Pura ed Applicata, Jahrgang 195, Nr. 5, 10.2016, S. 1551-1574.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On linear systems of P3 with nine base points
AU - Brambilla, Maria Chiara
AU - Dumitrescu, Olivia
AU - Postinghel, Elisa
N1 - Funding information: Maria Chiara Brambilla is partially supported by MIUR and INDAM. Olivia Dumitrescu is a member of the Simion Stoilow Institute of Mathematics of the Romanian Academy. Elisa Postinghel is supported by the Research Foundation—Flanders (FWO).
PY - 2016/10
Y1 - 2016/10
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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84940689115&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1410.8065
DO - 10.48550/arXiv.1410.8065
M3 - Article
AN - SCOPUS:84940689115
VL - 195
SP - 1551
EP - 1574
JO - Annali di Matematica Pura ed Applicata
JF - Annali di Matematica Pura ed Applicata
SN - 0373-3114
IS - 5
ER -