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

Volume 29
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

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
Equations of linear subvarieties of strata of differentials

Frederik Benirschke, Benjamin Dozier and Samuel Grushevsky

Geometry & Topology 26 (2022) 2773–2830
DOI: 10.2140/gt.2022.26.2773
Bibliography
1 A Avila, A Eskin, M Möller, Symplectic and isometric SL(2, )–invariant subbundles of the Hodge bundle, J. Reine Angew. Math. 732 (2017) 1 MR3717086
2 M Bainbridge, D Chen, Q Gendron, S Grushevsky, M Möller, Compactification of strata of abelian differentials, Duke Math. J. 167 (2018) 2347 MR3848392
3 M Bainbridge, D Chen, Q Gendron, S Grushevsky, M Möller, The moduli space of multi-scale differentials, preprint (2019) arXiv:1910.13492
4 F Benirschke, The boundary of linear subvarieties, (2020) arXiv:2007.02502
5 F Benirschke, The closure of double ramification loci via strata of exact differentials, preprint (2020) arXiv:2012.07703
6 K Calta, Veech surfaces and complete periodicity in genus two, J. Amer. Math. Soc. 17 (2004) 871 MR2083470
7 D Chen, Affine geometry of strata of differentials, J. Inst. Math. Jussieu 18 (2019) 1331 MR4021107
8 D Chen, A Wright, The WYSIWYG compactification, J. Lond. Math. Soc. 103 (2021) 490 MR4230909
9 M Costantini, M Möller, J Zachhuber, The Chern classes and the Euler characteristic of the moduli spaces of abelian differentials, preprint (2020) arXiv:2006.12803
10 B Dozier, Measure bound for translation surfaces with short saddle connections, preprint (2020) arXiv:2002.10026
11 A Eskin, M Mirzakhani, Invariant and stationary measures for the SL(2, ) action on moduli space, Publ. Math. Inst. Hautes Études Sci. 127 (2018) 95 MR3814652
12 A Eskin, M Mirzakhani, A Mohammadi, Isolation, equidistribution, and orbit closures for the SL(2, ) action on moduli space, Ann. of Math. 182 (2015) 673 MR3418528
13 S Filip, Splitting mixed Hodge structures over affine invariant manifolds, Ann. of Math. 183 (2016) 681 MR3450485
14 C T McMullen, Billiards and Teichmüller curves on Hilbert modular surfaces, J. Amer. Math. Soc. 16 (2003) 857 MR1992827
15 Y Minsky, B Weiss, Nondivergence of horocyclic flows on moduli space, J. Reine Angew. Math. 552 (2002) 131 MR1940435
16 M Mirzakhani, A Wright, The boundary of an affine invariant submanifold, Invent. Math. 209 (2017) 927 MR3681397
17 D Mumford, The red book of varieties and schemes, 1358, Springer (1999) MR1748380
18 J Smillie, B Weiss, Minimal sets for flows on moduli space, Israel J. Math. 142 (2004) 249 MR2085718
19 B Sturmfels, Gröbner bases and convex polytopes, 8, Amer. Math. Soc. (1996) MR1363949
20 B Sturmfels, Equations defining toric varieties, from: "Algebraic geometry, II" (editors J Kollár, R Lazarsfeld, D R Morrison), Proc. Sympos. Pure Math. 62, Amer. Math. Soc. (1997) 437 MR1492542
21 A Wright, Cylinder deformations in orbit closures of translation surfaces, Geom. Topol. 19 (2015) 413 MR3318755