논문KCI 등재
The main component of a reducible Hilbert curve of conic fibrations
대한수학회 (The Korean Mathematical Society)|2021.09|대한수학회지 (Journal of the KMS)|제58권 제5호|pp. 1211-1226|DOI 10.4134/JKMS.j200534
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The study of reducible Hilbert curves of conic fibrations over a smooth surface is carried on in this paper and the question of when the main component is itself the Hilbert curve of some $\mathbb Q$-polarized surface is dealt with. Special attention is paid to the polynomial defining the canonical equation of the Hilbert curve.
Abstract
The study of reducible Hilbert curves of conic fibrations over a smooth surface is carried on in this paper and the question of when the main component is itself the Hilbert curve of some $\mathbb Q$-polarized surface is dealt with. Special attention is paid to the polynomial defining the canonical equation of the Hilbert curve.
참고문헌 (12)
- W. P. Barth, "Compact complex surfaces Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 4" (2004), Springer-Verlag
- Mauro Beltrametti, "Algebraic surfaces containing an ample divisor of arithmetic genus two", Arkiv för Matematik, 25(1-2), pp.189~210 (1987), International Press of Boston[DOI]
- M.C. Beltrametti, "Hilbert curves of polarized varieties", Journal of Pure and Applied Algebra, 214(4), pp.461~479 (2010), Elsevier BV[DOI]
- F. A. Bogomolov, "Bogomolov, Holomorphic tensors and vector bundles on projective manifolds", Izv. Akad. Nauk SSSR Ser. Mat, 42(6), pp.1227~1287 (1978)
- Maria Lucia Fania, "Hilbert curves of conic fibrations over smooth surfaces", Communications in Algebra, 49(2), pp.545~566 (2021), Informa UK Limited[DOI]
- T. Fujita, "Classi cation theories of polarized varieties" (1990), Cambridge University Press
- R. Hartshorne, "Algebraic geometry" (1977), Springer-Verlag
- Antonio Lanteri, "Characterizing scrolls via the Hilbert curve", International Journal of Mathematics, 25(11), pp.1450101~ (2014), World Scientific Pub Co Pte Ltd[DOI]
- Antonio Lanteri, "Hilbert curves of 3-dimensional scrolls over surfaces", Journal of Pure and Applied Algebra, 222(1), pp.139~154 (2018), Elsevier BV[DOI]
- A. Lanteri, "Hilbert curve characterizations of some relevant polarized manifolds", arXiv: 1803.01131, ~ (2018)
- H. Maeda, "On polarized surfaces of sectional genus three", Sci. Papers College Arts Sci. Univ. Tokyo, 37(2), pp.103~112 (1988)
- K. Yokoyama, "On blowing-up of polarized surfaces", J. Math. Soc. Japan, 51(3), pp.523~533 (1999)[DOI]
관련 논문AI추천
Conics on a general hypersurface in complex projective spaces신동수대한수학회 · 대한수학회보2013 · 제50권 제6호Singularities of the curvilinear Hilbert scheme of hypersurfaces김호성, 이화영대한수학회 · 대한수학회보2025 · 제62권 제5호The Harbourne-Hirschowitz condition and the anticanonical orthogonal property for surfacesAbel Castorena, Juan Bosco Frias-Medina대한수학회 · 대한수학회지2023 · 제60권 제2호Some irrational quartic threefolds원준영, 홍규식대한수학회 · 대한수학회보2022 · 제59권 제2호Defining Equations of Rational Curves in Smooth Quadric Surface이완석, Shuailing Yang영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호Chow stability of canonical genus 4 curves김호성대한수학회 · 대한수학회보2013 · 제50권 제3호
이 간행물의 다른 논문 (11건)
Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems이만섭pp. 1059-1079A sufficient condition for a toric weak Fano 4-fold to be deformed to a Fano manifoldHiroshi Satopp. 1081-1107The stability of weak solutions to an anisotropic polytropic infiltration equationHuashui Zhanpp. 1109-1129On semilocal Klein-Gordon-Maxwell equations손주희, 유영석, 한종민pp. 1131-1145Inclusion relations and radius problems for a subclass of starlike functionsPrachi Gupta, Sumit Nagpal, Vaithiyanathan Ravichandranpp. 1147-1180