Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 111-132 |
Seitenumfang | 22 |
Fachzeitschrift | Annali di Matematica Pura ed Applicata |
Jahrgang | 195 |
Ausgabenummer | 1 |
Publikationsstatus | Veröffentlicht - 1 Feb. 2016 |
Abstract
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in: Annali di Matematica Pura ed Applicata, Jahrgang 195, Nr. 1, 01.02.2016, S. 111-132.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On deformations of curves supported on rigid divisors
AU - González-Alonso, Víctor
N1 - Funding information: The author developed this work with the support of the Spanish “Ministerio de Economía y Competitividad” (through the Project MTM2012-38122-C03-01/FEDER) and the “Generalitat de Catalunya” (through the Project 2009-SGR-1284). He was also partially supported by the Grant FPU-AP2008-01849 of the Spanish “Ministerio de Educación”, and by the ERC StG 279723 “Arithmetic of algebraic surfaces” (SURFARI).
PY - 2016/2/1
Y1 - 2016/2/1
N2 - Motivated by a conjecture of Xiao, we study supporting divisors of fibred surfaces. On the one hand, after developing a formalism to treat one-dimensional families of varieties of any dimension, we give a structure theorem for fibred surfaces supported on relatively rigid divisors. On the other hand, we study how to produce supporting divisors by constructing a global adjoint map for a fibration over a curve (generalizing the infinitesimal constructions of Collino, Pirola, Rizzi and Zucconi).
AB - Motivated by a conjecture of Xiao, we study supporting divisors of fibred surfaces. On the one hand, after developing a formalism to treat one-dimensional families of varieties of any dimension, we give a structure theorem for fibred surfaces supported on relatively rigid divisors. On the other hand, we study how to produce supporting divisors by constructing a global adjoint map for a fibration over a curve (generalizing the infinitesimal constructions of Collino, Pirola, Rizzi and Zucconi).
UR - http://www.scopus.com/inward/record.url?scp=84956476922&partnerID=8YFLogxK
UR - https://arxiv.org/abs/1401.7466
U2 - 10.1007/s10231-014-0455-x
DO - 10.1007/s10231-014-0455-x
M3 - Article
AN - SCOPUS:84956476922
VL - 195
SP - 111
EP - 132
JO - Annali di Matematica Pura ed Applicata
JF - Annali di Matematica Pura ed Applicata
SN - 0373-3114
IS - 1
ER -