논문KCI 등재
On the equations defining some curves of maximal regularity in $\mathbb{P}^4$
2
조회
0
다운로드
2
인용
0
참고문헌
키워드
주제분류수학
초록
For a nondegenerate irreducible projective variety, it is a clas- sical problem to describe its defining equations. In this paper we precisely determine the defining equations of some rational curves of maximal reg- ularity in P4 according to their rational parameterizations.
Abstract
For a nondegenerate irreducible projective variety, it is a clas- sical problem to describe its defining equations. In this paper we precisely determine the defining equations of some rational curves of maximal reg- ularity in P4 according to their rational parameterizations.
참고문헌 (11)
- "Singular 3 ─ 1 ─ 2 - A computer algebra system for polynomial computations" (2011)[URL]
- L. Gruson, "On a theorem of Castelnovo, and the equations defining space curves", Inventiones mathematicae, 72, pp.491~506 (1983)
- J. Harris, "Algebraic geometry. A First course. Corrected reprint of the 1992 original. Graduate Texts in Mathematics, 133", pp.xx~328 (1995), Springer-Verlag
- W. Lee, "On non-normal del Pezzo varieties", J. Algebra, 387, pp.11~28 (2013)
- W. Lee, "On curves lying on a rational normal surface scroll", arXiv:1808.03038, ~
- W. Lee, "On the classification of non-normal cubic hypersurfaces", J. Pure Appl. Algebra, 215, pp.2034~2042 (2011)
- W. Lee, "On the classification of non-normal complete intersection of two quadrics", J. Pure Appl. Algebra, 216(5), pp.1222~1234 (2012)
- 이완석, "Defining Equations of Rational Curves in Smooth Quadric Surface", East Asian Mathematical Journal, 34(1), pp.21~28 (2018), 영남수학회[DOI]
- D. Mumford, "Lectures on curves on an algebraic surface. With a section by G. M. Bergman", pp.xi~200 (1966), Princeton University Press
- U. Nagel, "Arithmetically Buchsbaum divisors on varieties of minimal degree", Transactions of the American Mathematical Society, 351, pp.4381~4409 (1999)
- Z. Fyodor, "Algebraic transformation groups and algebraic varieties", pp.207~238 (2004), Springer
관련 논문AI추천
ON THE EQUATIONS DEFINING SOME CURVES OF MAXIMAL REGULARITY IN P5이완석, Shuailing Yang영남수학회 · East Asian Mathematical Journal2022 · 제38권 제3호On the equations defining some rational curves of maximal genus in $\mathbb{P}^3$Shuailing Yang, Wanseok Lee영남수학회 · East Asian Mathematical Journal2024 · 제40권 제3호Defining Equations of Rational Curves in Smooth Quadric Surface이완석, Shuailing Yang영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호Remarks on Curves of Maximal Regularity in P³이완석영남수학회 · East Asian Mathematical Journal2020 · 제36권 제3호On the minimal free resolution of curves of maximal regularity박의성, 이완석대한수학회 · 대한수학회보2016 · 제53권 제6호Some rational curves of maximal genus in $\mathbb{P}^3$이완석, Shuailing Yang영남수학회 · East Asian Mathematical Journal2024 · 제40권 제1호
이 간행물의 다른 논문 (13건)
Regularity of the Schr\"odinger Equation for a Cauchy-Euler Type Operator조은성, 조홍래, 이한울pp. 1-7On an Involution on Partitions with Crank 0김병찬pp. 9-15Characterization of Travel Groupoids by Partition Systems on Graphs박정미, 조정래pp. 17-22Certain formulas involving a multi-index Mittag-Leffler functionManish Kumar Bansal, Shahid Mubeen, Devendra Kumar, 최준상, P. Harjulepp. 23-30Polynomial invariants of long virtual knots김세라, 임영호pp. 31-40