Download this article
 Download this article For screen
For printing
Recent Issues

Volume 30
Issue 7, 2431–2778
Issue 6, 2043–2429
Issue 5, 1611–2042
Issue 4, 1203–1610
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388

Volume 29, 9 issues

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Stable cuspidal curves and the integral Chow ring of $\mkern5mu\overline{\mkern-5mu\mathcal{M}\mkern-2mu}\mkern2mu_{2,1}$

Andrea Di Lorenzo, Michele Pernice and Angelo Vistoli

Geometry & Topology 28 (2024) 2915–2970
Bibliography
1 J Alper, M Fedorchuk, D I Smyth, Singularities with 𝔾m–action and the log minimal model program for ℳg, J. Reine Angew. Math. 721 (2016) 1 MR3574876
2 J Alper, M Fedorchuk, D I Smyth, Second flip in the Hassett–Keel program : existence of good moduli spaces, Compos. Math. 153 (2017) 1584 MR3649808
3 J Alper, M Fedorchuk, D I Smyth, Second flip in the Hassett–Keel program : projectivity, Int. Math. Res. Not. 2017 (2017) 7375 MR3802125
4 J Alper, M Fedorchuk, D I Smyth, F van der Wyck, Second flip in the Hassett–Keel program : a local description, Compos. Math. 153 (2017) 1547 MR3705268
5 Y Bae, J Schmitt, Chow rings of stacks of prestable curves, I, Forum Math. Sigma 10 (2022) MR4430955
6 Y Bae, J Schmitt, Chow rings of stacks of prestable curves, II, J. Reine Angew. Math. 800 (2023) 55 MR4609823
7 A Di Lorenzo, The Chow ring of the stack of hyperelliptic curves of odd genus, Int. Math. Res. Not. 2021 (2021) 2642 MR4218333
8 A Di Lorenzo, Cohomological invariants of the stack of hyperelliptic curves of odd genus, Transform. Groups 26 (2021) 165 MR4229663
9 A Di Lorenzo, A Vistoli, Polarized twisted conics and moduli of stable curves of genus two, preprint (2021) arXiv:2103.13204
10 A Di Lorenzo, D Fulghesu, A Vistoli, The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three, Trans. Amer. Math. Soc. 374 (2021) 5583 MR4293781
11 D Edidin, D Fulghesu, The integral Chow ring of the stack of at most 1–nodal rational curves, Comm. Algebra 36 (2008) 581 MR2388024
12 D Edidin, D Fulghesu, The integral Chow ring of the stack of hyperelliptic curves of even genus, Math. Res. Lett. 16 (2009) 27 MR2480558
13 D Edidin, W Graham, Equivariant intersection theory, Invent. Math. 131 (1998) 595 MR1614555
14 C Faber, Chow rings of moduli spaces of curves, PhD thesis, Universiteit van Amsterdam (1988)
15 C Faber, Chow rings of moduli spaces of curves, I : The Chow ring of ℳ3, Ann. of Math. 132 (1990) 331 MR1070600
16 D Fulghesu, The Chow ring of the stack of rational curves with at most 3 nodes, Comm. Algebra 38 (2010) 3125 MR2724210
17 W Fulton, Intersection theory, 2, Springer (1998) MR1644323
18 B Hassett, D Hyeon, Log canonical models for the moduli space of curves: the first divisorial contraction, Trans. Amer. Math. Soc. 361 (2009) 4471 MR2500894
19 D Knutson, Algebraic spaces, 203, Springer (1971) MR0302647
20 E Larson, The integral Chow ring of M2, Algebr. Geom. 8 (2021) 286 MR4206438
21 D Mumford, Towards an enumerative geometry of the moduli space of curves, from: "Arithmetic and geometry, II : Geometry" (editors M Artin, J Tate), Progr. Math. 36, Birkhäuser (1983) 271 MR0717614
22 M Pernice, Ar–stable curves and the Chow ring of ℳ3, PhD thesis, Scuola Normale Superiore (2022) arXiv:2211.09793
23 M Pernice, The integral Chow ring of the stack of 1–pointed hyperelliptic curves, Int. Math. Res. Not. 2022 (2022) 11539 MR4458558
24 M Pernice, The (almost) integral Chow ring of ℳ3, preprint (2023) arXiv:2303.13614
25 M Pernice, The (almost) integral Chow ring of ℳ37, preprint (2023) arXiv:2303.05493
26 M Romagny, Group actions on stacks and applications, Michigan Math. J. 53 (2005) 209 MR2125542
27 D Schubert, A new compactification of the moduli space of curves, Compos. Math. 78 (1991) 297 MR1106299
28 D I Smyth, Towards a classification of modular compactifications of ℳg,n, Invent. Math. 192 (2013) 459 MR3044128
29 A Vistoli, Intersection theory on algebraic stacks and on their moduli spaces, Invent. Math. 97 (1989) 613 MR1005008
30 A Vistoli, The Chow ring of ℳ2, Invent. Math. 131 (1998) 635 MR1614559