Compact moduli of plane curves

被引：57

作者：

Hacking, P ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2004年 / 124卷 / 02期

关键词：

D O I：

10.1215/S0012-7094-04-12421-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a compactification M-d of the moduli space of lane curves of degree d. We regard-a plane curve C subset of P-2 as a surface-divisor pair (P-2, C), and we define Ad as a moduli space of pairs (X, D), where X is a degeneration of the plane. We show that, if d is not divisible by 3, the stack M-d is smooth and the degenerate surfaces X can be described explicitly.

引用

页码：213 / 257

页数：45

共 50 条

[1] Moduli of tropical plane curves
Sarah Brodsky
Michael Joswig
Ralph Morrison
Bernd Sturmfels
Research in the Mathematical Sciences, 2
[2] Moduli of tropical plane curves
Brodsky, Sarah
Joswig, Michael
Morrison, Ralph
Sturmfels, Bernd
RESEARCH IN THE MATHEMATICAL SCIENCES, 2015, 2 (01)
[3] The κ ring of the moduli of curves of compact type
Pandharipande, Rahul
ACTA MATHEMATICA, 2012, 208 (02) : 335 - 388
[4] MODULI SPACE OF PLANE CURVES SINGULARITIES
DELORME, C
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1974, 279 (10): : 367 - 369
[5] MODULI OF ALGEBROID PLANE-CURVES
CASAS, E
LECTURE NOTES IN MATHEMATICS, 1982, 961 : 32 - 83
[6] Conformal field theories and compact curves in moduli spaces
Donagi, Ron
Morrison, David R.
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (05):
[7] Conformal field theories and compact curves in moduli spaces
Ron Donagi
David R. Morrison
Journal of High Energy Physics, 2018
[8] THE RATIONALITY OF SOME MODULI SPACES OF PLANE-CURVES
SHEPHERDBARRON, NI
COMPOSITIO MATHEMATICA, 1988, 67 (01) : 51 - 88
[9] Rationality of Moduli Spaces of Plane Curves of Small Degree
Boehning, Christian
von Bothmer, Hans-Christian Graf
Kroeker, Jakob
EXPERIMENTAL MATHEMATICS, 2009, 18 (04) : 499 - 508
[10] A moduli space of non-compact curves on a complex surface
Shevchishin, Vsevolod V.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (11) : 1527 - 1548

← 1 2 3 4 5 →