Some remarks on surfaces in P4 containing a family of plane curves

被引：4
|
作者：
Sierra, Jose Carlos [1 ]
Tironi, Andrea Luigi
机构：
[1] Univ Complutense Madrid, Dept Algebra, Fac Ciencias Matemat, Madrid 28040, Spain
[2] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2007年 / 209卷 / 02期
关键词：
D O I：
10.1016/j.jpaa.2006.06.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Smooth surfaces S subset of P-4 containing a 1-dimensional family of plane curves not forming a fibration are studied. We obtain some results confirming the conjecture that the Veronese surface and the quintic elliptic scrolls are the only ones that do not lie on a quadric cone. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：361 / 369
页数：9
相关论文
共 50 条
  • [41] Boundary curves of surfaces with the 4-plane property
    Li, Tao
    GEOMETRY & TOPOLOGY, 2002, 6 : 609 - 647
  • [42] Some surfaces containing triple curves, II.
    Roth, L
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1933, 29 : 178 - 183
  • [43] P4CGO: Control Plane Guided P4 Program Optimization
    Wen, Chenan
    Li, Zhuocong
    Jafri, Syed Usman
    Qiu, Xiaokang
    Rao, Sanjay
    PROCEEDINGS OF THE 2024 SIGCOMM WORKSHOP ON FORMAL METHODS AIDED NETWORK OPERATION, FMANO 2024, 2024, : 1 - 7
  • [44] Exploring Data Plane Updates on P4 Switches with P4Runtime
    Stubbe, Henning
    Gallenmueller, Sebastian
    Simon, Manuel
    Hauser, Eric
    Scholz, Dominik
    Carle, Georg
    COMPUTER COMMUNICATIONS, 2024, 225 : 44 - 53
  • [45] NEW P4 LABORATORIES - CONTAINING RECOMBINANT DNA
    MARX, JL
    SCIENCE, 1977, 197 (4311) : 1350 - 1352
  • [46] Binary Neural Network with P4 on Programmable Data Plane
    Luo, Junming
    Liu, Waixi
    Tan, Miaoquan
    Chen, Haosen
    2022 18TH INTERNATIONAL CONFERENCE ON MOBILITY, SENSING AND NETWORKING, MSN, 2022, : 960 - 965
  • [47] Rational surfaces in ℙ4 containing a plane curve
    F. Catanese
    K. Hulek
    Annali di Matematica Pura ed Applicata, 1997, 172 : 229 - 256
  • [48] HyPer4: Using P4 to Virtualize the Programmable Data Plane
    Hancock, David
    van der Merwe, Jacobus
    PROCEEDINGS OF THE 12TH INTERNATIONAL CONFERENCE ON EMERGING NETWORKING EXPERIMENTS AND TECHNOLOGIES (CONEXT'16), 2016, : 35 - 49
  • [49] MODULI OF REFLEXIVE SHEAVES AND SURFACES OF SMALL DEGREES IN P4
    OKONEK, C
    MATHEMATISCHE ZEITSCHRIFT, 1983, 184 (04) : 549 - 572
  • [50] CONICS IN SEXTIC K3-SURFACES IN P4
    Degtyarev, Alex
    NAGOYA MATHEMATICAL JOURNAL, 2022, 246 : 273 - 304
12345