NEW RESULTS ON FAT POINTS SCHEMES IN P2

被引：0

作者：

Dumnicki, Marcin ^{[1
]}

Szemberg, Tomasz ^{[2
]}

Tutaj-Gasinska, Halszka ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, Lojasiewicza 6, PL-30348 Krakow, Poland

[2] Inst Matematyki UP, PL-30084 Krakow, Poland

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES | 2013年 / 20卷

关键词：

vanishing; symbolic powers; fat points; postulation problems; LINEAR-SYSTEMS; PLANE-CURVES; BASE POINTS; IDEALS;

D O I：

10.3934/era.2013.20.51

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this note is to announce two results, Theorem A and Theorem B below, concerning geometric and algebraic properties of fat points in the complex projective plane. Their somewhat technical proofs are available in [10] and will be published elsewhere. Here we present only main ideas which are fairly transparent.

引用

页码：51 / 54

页数：4

共 50 条

[1] An algorithm for fat points on P2
Harbourne, B
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2000, 52 (01): : 123 - 140
[2] Good failures for fat points in P2
Ballico, E
Chiantini, L
[J]. COMMUNICATIONS IN ALGEBRA, 2000, 28 (12) : 5857 - 5866
[3] Resolutions of ideals of any six fat points in P2
Guardo, Elena
Harbourne, Brian
[J]. JOURNAL OF ALGEBRA, 2007, 318 (02) : 619 - 640
[4] Nodal curves and postulation of generic fat points on P2
Ballico, E
Chiantini, L
[J]. ARCHIV DER MATHEMATIK, 1998, 71 (06) : 501 - 504
[5] Nodal curves and postulation of generic fat points on P2
Edoardo Ballico
Luca Chiantini
[J]. Archiv der Mathematik, 1998, 71 : 501 - 504
[6] Resolutions of fat point ideals involving eight general points of P2
Fitchett, S
Harbourne, B
Holay, S
[J]. JOURNAL OF ALGEBRA, 2001, 244 (02) : 684 - 705
[7] On the minimal free resolution for fat point schemes of multiplicity at most 3 in P2
Ballico, E.
Ida, M.
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2008, 212 (07) : 1756 - 1769
[8] LINEAR-SYSTEMS OF PLANE-CURVES THROUGH FIXED FAT POINTS OF P2
CATALISANO, MV
[J]. JOURNAL OF ALGEBRA, 1991, 142 (01) : 81 - 100
[9] The field of moduli of sets of points in P2
Bresciani, Giulio
[J]. ARCHIV DER MATHEMATIK, 2024, 122 (05) : 513 - 519
[10] Periodic points for birational mappings of P2
Favre, C
[J]. ANNALES DE L INSTITUT FOURIER, 1998, 48 (04) : 999 - +

← 1 2 3 4 5 →