ALGEBRAIC HYPERBOLICITY FOR SURFACES IN TORIC THREEFOLDS

被引：3
|
作者：
Haase, Christian [1 ]
Ilten, Nathan [2 ]
机构：
[1] Free Univ Berlin, Inst Math, Arnimallee 3, D-14195 Berlin, Germany
[2] Simon Fraser Univ, Dept Math, 8888 Univ Dr, Burnaby, BC V5A 1S6, Canada
来源：
JOURNAL OF ALGEBRAIC GEOMETRY | 2021年 / 30卷 / 03期
关键词：
SUBVARIETIES;
D O I：
10.1090/jag/770
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Adapting focal loci techniques used by Chiantini and Lopez, we provide lower bounds on the genera of curves contained in very general surfaces in Gorenstein toric threefolds. We illustrate the utility of these bounds by obtaining results on algebraic hyperbolicity of very general surfaces in toric threefolds.
引用
收藏
页码：573 / 602
页数：30
相关论文
共 50 条
  • [21] Toric G-solid Fano threefolds
    Ivan Cheltsov
    Adrien Dubouloz
    Takashi Kishimoto
    Selecta Mathematica, 2023, 29
  • [22] Toric G-solid Fano threefolds
    Cheltsov, Ivan
    Dubouloz, Adrien
    Kishimoto, Takashi
    SELECTA MATHEMATICA-NEW SERIES, 2023, 29 (02):
  • [23] Algebraic approximation of Kahler threefolds
    Schrack, Florian
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (11-12) : 1486 - 1499
  • [24] ALGEBRAIC THREEFOLDS OF PARABOLIC TYPE
    UENO, K
    PROCEEDINGS OF THE JAPAN ACADEMY, 1976, 52 (10): : 541 - 543
  • [25] Virasoro constraints for stable pairs on toric threefolds
    Moreira, Miguel
    Oblomkov, Alexei
    Okounkov, Andrei
    Pandharipande, Rahul
    FORUM OF MATHEMATICS PI, 2022, 10
  • [26] TOPOLOGY OF REAL ALGEBRAIC THREEFOLDS
    KUCHARZ, W
    DUKE MATHEMATICAL JOURNAL, 1986, 53 (04) : 1073 - 1079
  • [27] On algebraic hyperbolicity of log varieties
    Chen, X
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2004, 6 (04) : 513 - 559
  • [28] F theory vacua in four dimensions and toric threefolds
    Mohri, K
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1999, 14 (06): : 845 - 874
  • [29] Logarithmic surfaces and hyperbolicity
    Dethloff, Gerd
    Lu, Steven S. -Y.
    ANNALES DE L INSTITUT FOURIER, 2007, 57 (05) : 1575 - 1610
  • [30] On the codimension of Noether-Lefschetz loci for toric threefolds
    Lanza, Valeriano
    Martino, Ivan
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (05)
12345