Resurgence numbers of fiber products of projective schemes

被引:5
作者
Bisui, Sankhaneel [1 ]
Huy Tai Ha [1 ]
Jayanthan, A., V [2 ]
Thomas, Abu Chackalamannil [1 ]
机构
[1] Tulane Univ, Dept Math, 6823 St Charles Ave, New Orleans, LA 70118 USA
[2] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India
关键词
Resurgence number; Asymptotic resurgence; Points; Symbolic powers; Containments between powers; ORDINARY POWERS; SYMBOLIC POWERS; CONTAINMENT; IDEALS; POINTS; COUNTEREXAMPLES; CONFIGURATIONS;
D O I
10.1007/s13348-020-00302-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the resurgence and asymptotic resurgence numbers of fiber products of projective schemes. Particularly, we show that while the asymptotic resurgence number of the k-fold fiber product of a projective scheme remains unchanged, its resurgence number could strictly increase.
引用
收藏
页码:605 / 614
页数:10
相关论文
共 24 条
  • [1] Ideal containments under flat extensions
    Akesseh, Solomon
    [J]. JOURNAL OF ALGEBRA, 2017, 492 : 44 - 51
  • [2] [Anonymous], 2006, Integral closure of ideals, rings, and modules
  • [3] [Anonymous], MACAULAY2 SOFTWARE S
  • [4] Containment results for ideals of various configurations of points in PN
    Bocci, Cristiano
    Cooper, Susan M.
    Harbourne, Brian
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2014, 218 (01) : 65 - 75
  • [5] COMPARING POWERS AND SYMBOLIC POWERS OF IDEALS
    Bocci, Cristiano
    Harbourne, Brian
    [J]. JOURNAL OF ALGEBRAIC GEOMETRY, 2010, 19 (03) : 399 - 417
  • [6] SYMBOLIC POWERS OF MONOMIAL IDEALS
    Cooper, Susan M.
    Embree, Robert J. D.
    Ha, Huy Tai
    Hoefel, Andrew H.
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2017, 60 (01) : 39 - 55
  • [7] A counterexample to the containment I(3) ⊂ I2 over the reals
    Czaplinski, Adam
    Glowka, Agata
    Malara, Grzegorz
    Lampa-Baczynska, Magdalena
    Luszcz-Swidecka, Patrycja
    Pokora, Piotr
    Szpond, Justyna
    [J]. ADVANCES IN GEOMETRY, 2016, 16 (01) : 77 - 82
  • [8] Containment problem for points on a reducible conic in P2
    Denkert, Annika
    Janssen, Mike
    [J]. JOURNAL OF ALGEBRA, 2013, 394 : 120 - 138
  • [9] ASYMPTOTIC RESURGENCE VIA INTEGRAL CLOSURES
    Dipasquale, Michael
    Francisco, Christopher A.
    Mermin, Jeffrey
    Schweig, Jay
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 372 (09) : 6655 - 6676
  • [10] Resurgences for ideals of special point configurations in PN coming from hyperplane arrangements
    Dumnicki, M.
    Harbourne, B.
    Nagel, U.
    Seceleanu, A.
    Szemberg, T.
    Tutaj-Gasinska, H.
    [J]. JOURNAL OF ALGEBRA, 2015, 443 : 383 - 394