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

[41] PEANO CURVES AND MODULI OF CONTINUITY
BUDAGOV, AA
MATHEMATICAL NOTES, 1991, 50 (1-2) : 783 - 789
[42] The moduli space of curves is rigid
Hacking, Paul
ALGEBRA & NUMBER THEORY, 2008, 2 (07) : 809 - 818
[43] Galois covers of moduli of curves
Boggi, M
Pikaart, M
COMPOSITIO MATHEMATICA, 2000, 120 (02) : 171 - 191
[44] A minicourse oil moduli of curves
Looijenga, E
MODULI SPACES IN ALGEBRAIC GEOMETRY, 2000, 1 : 267 - +
[45] A MODULI STACK OF TROPICAL CURVES
Cavalieri, Renzo
Chan, Melody
Ulirsch, Martin
Wise, Jonathan
FORUM OF MATHEMATICS SIGMA, 2020, 8
[46] ON THE PROJECTIVITY OF THE MODULI SPACES OF CURVES
CORNALBA, MDT
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1993, 443 : 11 - 20
[47] WEIERSTRASS POINTS AND MODULI OF CURVES
ARBARELLO, E
COMPOSITIO MATHEMATICA, 1974, 29 (03) : 325 - 342
[48] Random trees and moduli of curves
Okounkov, A
ASYMPTOTIC COMBINATORICS WITH APPLICATIONS TO MATHEMATICAL PHYSICS, 2003, 1815 : 89 - 126
[49] Moduli of curves on Enriques surfaces
Ciliberto, Ciro
Dedieu, Thomas
Galati, Concettina
Knutsen, Andreas Leopold
ADVANCES IN MATHEMATICS, 2020, 365
[50] THE TROPICALIZATION OF THE MODULI SPACE OF CURVES
Abramovich, Dan
Caporaso, Lucia
Payne, Sam
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2015, 48 (04): : 765 - 809

← 1 2 3 4 5 →