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

Volume 29
Issue 8, 3921–4476
Issue 7, 3345–3919
Issue 6, 2783–3343
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
Holomorphic $1$–forms on the moduli space of curves

Filippo Francesco Favale, Gian Pietro Pirola and Sara Torelli

Geometry & Topology 28 (2024) 3001–3022
Bibliography
1 A Andreotti, Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves, Bull. Soc. Math. France 91 (1963) 1 MR0152674
2 A Andreotti, H Grauert, Théorème de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France 90 (1962) 193 MR0150342
3 E Arbarello, M Cornalba, P A Griffiths, Geometry of algebraic curves, II, 268, Springer (2011) MR2807457
4 M F Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957) 181 MR0086359
5 W L Baily Jr., A Borel, Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. 84 (1966) 442 MR0216035
6 W Barth, C Peters, A Van de Ven, Compact complex surfaces, 4, Springer (1984) MR749574
7 I Biswas, E Colombo, P Frediani, G P Pirola, A Hodge theoretic projective structure on compact Riemann surfaces, J. Math. Pures Appl. 149 (2021) 1 MR4238994
8 F F Favale, S Torelli, Covering of elliptic curves and the kernel of the Prym map, Matematiche (Catania) 72 (2017) 155 MR3731509
9 F F Favale, J C Naranjo, G P Pirola, On the Xiao conjecture for plane curves, Geom. Dedicata 195 (2018) 193 MR3820501
10 V González-Alonso, S Torelli, Families of curves with Higgs field of arbitrarily large kernel, Bull. Lond. Math. Soc. 53 (2021) 493 MR4239191
11 V González-Alonso, L Stoppino, S Torelli, On the rank of the flat unitary summand of the Hodge bundle, Trans. Amer. Math. Soc. 372 (2019) 8663 MR4029708
12 P Griffiths, J Harris, Principles of algebraic geometry, Wiley (1978) MR0507725
13 A Grothendieck, Éléments de géométrie algébrique, III : Étude cohomologique des faisceaux cohérents, I, Inst. Hautes Études Sci. Publ. Math. 11 (1961) 5 MR0163910
14 J Harer, The second homology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983) 221 MR0700769
15 J Harris, I Morrison, Moduli of curves, 187, Springer (1998) MR1631825
16 R Hartshorne, Algebraic geometry, 52, Springer (1977) MR0463157
17 J i Igusa, A desingularization problem in the theory of Siegel modular functions, Math. Ann. 168 (1967) 228 MR0218352
18 Y Kawamata, A generalization of Kodaira–Ramanujam’s vanishing theorem, Math. Ann. 261 (1982) 43 MR0675204
19 R Lazarsfeld, Positivity in algebraic geometry, I : Classical setting : line bundles and linear series, 48, Springer (2004) MR2095471
20 A F Lopez, Noether–Lefschetz theory and the Picard group of projective surfaces, 438, Amer. Math. Soc. (1991) MR1043786
21 D Mumford, Abelian quotients of the Teichmüller modular group, J. Anal. Math. 18 (1967) 227 MR0219543
22 J C Ottem, Ample subvarieties and q–ample divisors, Adv. Math. 229 (2012) 2868 MR2889149
23 G P Pirola, S Torelli, Massey products and Fujita decompositions on fibrations of curves, Collect. Math. 71 (2020) 39 MR4047698
24 I Satake, On the compactification of the Siegel space, J. Indian Math. Soc. 20 (1956) 259 MR0084842
25 A J Sommese, Concavity theorems, Math. Ann. 235 (1978) 37 MR0486637
26 A J Sommese, Submanifolds of abelian varieties, Math. Ann. 233 (1978) 229 MR0466647
27 B Totaro, Line bundles with partially vanishing cohomology, J. Eur. Math. Soc. 15 (2013) 731 MR3085089
28 C Voisin, Hodge theory and complex algebraic geometry, II, 77, Cambridge Univ. Press (2003) MR1997577