ALEXANDER POLYNOMIALS OF COMPLEX PROJECTIVE PLANE CURVES

被引：1

作者：

Quy Thuong Le ^{[1
]}

机构：

[1] Vietnam Natl Univ, 334 Nguyen Trai St, Hanoi, Vietnam

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 97卷 / 03期

关键词：

Alexander polynomial; log-resolution; multiplier ideals; local systems; ALGEBRAIC-CURVES;

D O I：

10.1017/S0004972717001198

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the Alexander polynomial of a nonreduced nonirreducible complex projective plane curve with mutually coprime orders of vanishing along its irreducible components in terms of certain multiplier ideals.

引用

页码：386 / 395

页数：10

共 50 条

[1] ALEXANDER POLYNOMIALS OF PROJECTIVE PLANE-CURVES
LOESER, F
VAQUIE, M
TOPOLOGY, 1990, 29 (02) : 163 - 173
[2] ALEXANDER POLYNOMIALS OF PLANE ALGEBRAIC-CURVES
KULIKOV, VS
RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS, 1994, 42 (01): : 67 - 89
[3] Twisted alexander polynomials of plane algebraic curves
Agustin, J. I. Cogolludo
Florens, V.
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 76 : 105 - 121
[4] MILNOR FIBERS AND ALEXANDER POLYNOMIALS OF PLANE-CURVES
RANDELL, R
PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1983, 40 : 415 - 419
[5] Braid monodromy and Alexander polynomials of real plane curves
Libgober, Anatoly
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2024, 65 (03): : 455 - 474
[6] Uniqueness Polynomials for Holomorphic Curves into the Complex Projective Space
Yang, Liu
FILOMAT, 2020, 34 (02) : 351 - 356
[7] On Alexander polynomials of torus curves
Audoubert, B
Nguyen, TC
Oka, M
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2005, 57 (04) : 935 - 957
[8] Alexander polynomials of Hurwitz curves
Kulikov, VS
IZVESTIYA MATHEMATICS, 2006, 70 (01) : 69 - 86
[9] EXTREMAL POLYNOMIALS ASSOCIATED WITH A SYSTEM OF CURVES IN COMPLEX PLANE
WIDOM, H
ADVANCES IN MATHEMATICS, 1969, 3 (02) : 127 - &
[10] Projective Evolution of Plane Curves
Marco Castrillón
Antonio Valdés
International Journal of Computer Vision, 2001, 42 : 191 - 201

← 1 2 3 4 5 →