ON INTEGRAL ZARISKI DECOMPOSITIONS OF PSEUDOEFFECTIVE DIVISORS ON ALGEBRAIC SURFACES

被引：1
|
作者：
Harbourne, B. [1 ,2 ]
Pokora, P. [3 ]
Tutaj-Gasinska, H. [4 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Pedag Univ Cracow, Inst Math, PL-30084 Krakow, Poland
[3] Johannes Gutenberg Univ Mainz, Inst Math, D-55099 Mainz, Germany
[4] Jagiellonian Univ, Dept Math & Comp Sci, PL-30348 Krakow, Poland
来源：
ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES | 2015年 / 22卷
关键词：
Zariski decomposition; K3; surfaces; blow ups; projective plane;
D O I：
10.3934/era.2015.22.103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we consider the problem of integrality of Zariski decompositions for pseudoeffective integral divisors on algebraic surfaces. We show that while sometimes integrality of Zariski decompositions forces all negative curves to be (-1)-curves, there are examples where this is not true.
引用
收藏
页码：103 / 108
页数：6
相关论文
共 50 条
  • [1] An integral version of Zariski decompositions on normal surfaces
    Enokizono, Makoto
    [J]. EUROPEAN JOURNAL OF MATHEMATICS, 2024, 10 (02)
  • [2] Zariski Decompositions on Arithmetic Surfaces
    Moriwaki, Atsushi
    [J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2012, 48 (04) : 799 - 898
  • [3] ZARISKI DECOMPOSITION OF DIVISORS ON ALGEBRAIC-VARIETIES
    CUTKOSKY, SD
    [J]. DUKE MATHEMATICAL JOURNAL, 1986, 53 (01) : 149 - 156
  • [4] OKOUNKOV BODIES AND ZARISKI DECOMPOSITIONS ON SURFACES
    Choi, Sung Rak
    Park, Jinhyung
    Won, Joonyeong
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (05) : 1677 - 1697
  • [5] A SIMPLE PROOF FOR THE EXISTENCE OF ZARISKI DECOMPOSITIONS ON SURFACES
    Bauer, Thomas
    [J]. JOURNAL OF ALGEBRAIC GEOMETRY, 2009, 18 (04) : 789 - 793
  • [6] Okounkov bodies associated to pseudoeffective divisors
    Choi, Sung Rak
    Hyun, Yoonsuk
    Park, Jinhyung
    Won, Joonyeong
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2018, 97 : 170 - 195
  • [7] On the Zariski-Lipman Conjecture for normal algebraic surfaces
    Biswas, Indranil
    Gurjar, R. V.
    Kolte, Sagar U.
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 90 : 270 - 286
  • [8] Okounkov Bodies Associated to Pseudoeffective Divisors II
    Choi, Sung Rak
    Park, Jinhyung
    Won, Joonyeong
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (03): : 601 - 620
  • [9] Normal algebraic surfaces with trivial tricanonical divisors
    Zhang, DQ
    [J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1997, 33 (03) : 427 - 442
  • [10] NUMERICALLY POSITIVE DIVISORS ON ALGEBRAIC-SURFACES
    LANTERI, A
    RONDENA, B
    [J]. GEOMETRIAE DEDICATA, 1994, 53 (02) : 145 - 154
12345