A threefold of general type with q1 = q2 = pg = P2=0

被引:2
|
作者
Ronconi, MC [1 ]
机构
[1] Univ Padua, Dipartimento Metodi & Modelli Matemat Sci Applica, I-35131 Padua, Italy
关键词
projective threefolds of general type; pluricanonical maps; pluricanonical adjoints;
D O I
10.1023/A:1022336011727
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
One of the problems in classifying nonsingular threefolds of general type with p(g) = 0 lies in finding the range of the bigenus P-2 (surfaces of general type with p(g) = 0 have 2 less than or equal to P-2 less than or equal to 10). Another problem involves finding the minimum integer m such that the m-canonical map phi(\mK\) is birational for any threefold ( = 5 in the case of surfaces). An example of a nonsingular threefold X of general type with q(1) = q(2) = 0, p(g) = P-2 = 0 P-3 = 1 is presented. In addition, the m -canonical map of X is birational if and only if m greater than or equal to 14. The threefold is obtained as a nonsingular model of a degree ten hypersurface in P-C(4) with the affine equation t(2) = f(10)(x,y,z).
引用
收藏
页码:133 / 150
页数:18
相关论文
共 50 条
  • [1] A Threefold of General Type with q1=q2=pg=P2=0
    M. Cristina Ronconi
    [J]. Acta Applicandae Mathematica, 2003, 75 : 133 - 150
  • [2] Absorption intensity of the Q1(0)+Q1(0) and Q1(0)+Q2(0) double vibrational transitions in solid parahydrogen
    Hinde, RJ
    [J]. PHYSICAL REVIEW B, 2000, 61 (17): : 11451 - 11453
  • [3] 'To Be, or Not To Be' Hamlet Q1, Q2 and Montaigne
    Frampton, Saul
    [J]. CRITICAL SURVEY, 2019, 31 (1-2) : 101 - 112
  • [4] A Threefold with pg=0 and P2=2
    Stagnaro, Ezio
    [J]. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2009, 121 : 13 - 31
  • [5] Thermodynamics of the critical RSOS(q1, q2; q) model
    Doikou, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (02): : 329 - 343
  • [6] Genome scans for Q1 and Q2 on general population replicates using Loki
    Shmulewitz, D
    Heath, SC
    [J]. GENETIC EPIDEMIOLOGY, 2001, 21 : S686 - S691
  • [7] On the Solutions of the Lucas Sequence Equation ± 1/Vn(P2, Q2) = Σk=1∞ Uk-1(P1,Q1)/xk
    Abdulzahra, A. A.
    Hashim, H. R.
    [J]. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2024, 18 (02): : 357 - 369
  • [8] Status Quo:Q2 Will Be Better Than Q1
    Zhao Zihan
    [J]. China Textile, 2014, (08) : 14 - 15
  • [9] MINIMA OF FUNCTIONS ON (q1, q2)-QUASIMETRIC SPACES
    Sengupta, R.
    Zhukovskiy, S. E.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2019, 10 (02): : 84 - 92
  • [10] COMPLETENESS THEOREM IN (q1, q2)-QUASIMETRIC SPACES
    Greshnov, Alexandr Valer'yevich
    Ivanovich, Zhukov Roman
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 2090 - 2097