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 50 条
  • [1] Resurgence numbers of fiber products of projective schemes
    Sankhaneel Bisui
    Huy Tài Hà
    A. V. Jayanthan
    Abu Chackalamannil Thomas
    Collectanea Mathematica, 2021, 72 : 605 - 614
  • [2] Lyubeznik numbers of projective schemes
    Zhang, Wenliang
    ADVANCES IN MATHEMATICS, 2011, 228 (01) : 575 - 616
  • [3] Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings
    Reichelt, Thomas
    Saito, Morihiko
    Walther, Uli
    SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (01):
  • [4] Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings
    Thomas Reichelt
    Morihiko Saito
    Uli Walther
    Selecta Mathematica, 2021, 27
  • [5] A diagonal bound for cohomological postulation numbers of projective schemes
    Brodmann, M
    Lashgari, AF
    JOURNAL OF ALGEBRA, 2003, 265 (02) : 631 - 650
  • [6] Wreath products and projective system of non Schurian association schemes
    Matsumoto, Makoto
    Ogawa, Kento
    ELECTRONIC JOURNAL OF COMBINATORICS, 2024, 31 (01):
  • [7] NONCOMMUTATIVE PROJECTIVE SCHEMES
    ARTIN, M
    ZHANG, JJ
    ADVANCES IN MATHEMATICS, 1994, 109 (02) : 228 - 287
  • [8] Burial and resurgence of projective identification in French psychoanalysis
    Widloecher, Daniel
    INTERNATIONAL JOURNAL OF PSYCHOANALYSIS, 2014, 95 (04): : 757 - 769
  • [9] A deformation of projective schemes
    Van Oystaeyen, F
    COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY: PROCEEDINGS OF THE FERRARA MEETING IN HONOR OF MARIO FIORENTINI, 1999, 206 : 295 - 312
  • [10] HODGE NUMBERS OF DESINGULARIZED FIBER PRODUCTS OF ELLIPTIC SURFACES
    Schoen, Chad
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (08) : 3215 - 3228