Linear systems on the blow-up of (P1)n

Antonio Laface; Joaquín Moraga

doi:10.1016/j.laa.2015.11.009

Linear systems on the blow-up of (^P1)n

Antonio Laface
, Joaquín Moraga

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this note we study linear systems on the blow-up of (^P1) at r points in very general position. We prove that the fibers of the projections (^P1) (^P1).

Original language	English (US)
Pages (from-to)	52-67
Number of pages	16
Journal	Linear Algebra and Its Applications
Volume	492
DOIs	https://doi.org/10.1016/j.laa.2015.11.009
State	Published - Mar 1 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Keywords

Birational maps
Linear systems
Toric varieties

Access to Document

10.1016/j.laa.2015.11.009

Cite this

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title = "Linear systems on the blow-up of (P1)n",

abstract = "In this note we study linear systems on the blow-up of (P1) at r points in very general position. We prove that the fibers of the projections (P1) (P1).",

keywords = "Birational maps, Linear systems, Toric varieties",

author = "Antonio Laface and Joaqu{\'i}n Moraga",

year = "2016",

month = mar,

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doi = "10.1016/j.laa.2015.11.009",

language = "English (US)",

volume = "492",

pages = "52--67",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

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T1 - Linear systems on the blow-up of (P1)n

AU - Laface, Antonio

AU - Moraga, Joaquín

PY - 2016/3/1

Y1 - 2016/3/1

N2 - In this note we study linear systems on the blow-up of (P1) at r points in very general position. We prove that the fibers of the projections (P1) (P1).

AB - In this note we study linear systems on the blow-up of (P1) at r points in very general position. We prove that the fibers of the projections (P1) (P1).

KW - Birational maps

KW - Linear systems

KW - Toric varieties

UR - https://www.scopus.com/pages/publications/84947756006

UR - https://www.scopus.com/pages/publications/84947756006#tab=citedBy

U2 - 10.1016/j.laa.2015.11.009

DO - 10.1016/j.laa.2015.11.009

M3 - Article

AN - SCOPUS:84947756006

SN - 0024-3795

VL - 492

SP - 52

EP - 67

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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