Tropicalizing vs Compactifying the Torelli morphism

A. Néron: Modéles minimaux des variétés abéliennes sur les corps locaux et globaux. Inst. Hautes Études Sci. Publ. Math. 21 (1964)

1964

Earlier work this paper cites.

P. Deligne, D. Mumford: The irreducibility of the space of curves of given genus . Inst. Hautes Études Sci. Publ. Math. 36 (1969), 75–109

1969

Earlier work this paper cites.

Schémas en groupes I. Séminaire de Géométrie Algébrique du Bois-Marie 1962–1964 (SGA 3 I). Dirigé para M. Demazure et A. Grothendick. Avec la collaboration de M. Artin, J. E. Bertin, P. Gabriel, M. Raynaud, J. P. Serre. Lecture Notes in Mathematics 151. Springer, Berlin-Heidelberg-New York (1970)

1970

Earlier work this paper cites.

Groupes de monodromie en géométrie algébrique I . Séminaire de Géométrie Algébrique du Bois-Marie 1967–1969 (SGA 7 I). Dirigé par A. Grothendieck. Avec la collaboration de M. Raynaud et D. S. Rim. Lecture Notes in Mathematics, Vol. 288. Springer-Verlag, Berlin-New York, 1972

1972

Earlier work this paper cites.

G. Kempf, F. Knudsen, D. Mumford, B. Saint-Donat: Toroidal embeddings I . Lecture Notes in Mathematics 339, Springer-Verlag, 1973

1973

Earlier work this paper cites.

A. Ash, D. Mumford, M. Rapoport, Y. Tai: Smooth compactification of locally symmetric varieties . Lie Groups: History, Frontiers and Applications, Vol. IV. Math. Sci. Press, Brookline, Mass., 1975

1975

Earlier work this paper cites.

Y. Namikawa: Toroidal compactification of Siegel spaces . Lecture Notes in Mathematics 812, Springer, Berlin, 1980

1980

Earlier work this paper cites.

F. Catanese: Pluricanonical-Gorenstein-curves

1982

Earlier work this paper cites.

L. Gerritzen: Die Jacobi-Abbildung ber dem Raum der Mumfordkurven. Math. Ann. 261 (1982), 81–100

1982

Earlier work this paper cites.

M. van der Put: Les fonctions têta d’une courbe de Mumford. Study group on ultrametric analysis, 9th year: 1981/82, No. 1, Exp. No. 10, 12 pp., Inst. Henri Poincaré, Paris, 1983

1983

Cited alongside, same era.

S. Bosch, W. Lütkebohmert, M. Raynaud: Néron models . Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 21. Springer-Verlag, Berlin, 1990

1990

Cited alongside, same era.

G. Faltings, C. L. Chai: Degeneration of abelian varieties . Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 22, Springer-Verlag, Berlin, 1990

1990

Cited alongside, same era.

T. Chinburg, R. Rumely: The capacity pairing. J. Reine angew. Math. 434 (1993), 1–44

1993

Cited alongside, same era.

F. Catanese, M. Franciosi, K. Hulek, M. Reid: Embeddings of curves and surfaces. Nagoya Math. J. 154

1999

Cited alongside, same era.

G. Mikhalkin, I. Zharkov: Tropical curves, their Jacobians and Theta functions . Contemporary Mathematics 465, Proceedings of the International Conference on Curves and Abelian Varieties in honor of Roy Smith’s 65th birthday (2007), 203-231

2007

Later among the works it cites.

L. Caporaso, F. Viviani: Torelli theorem for graphs and tropical curves . Duke Math. Journal 153 (2010), 129–171

2010

Later among the works it cites.

E. Arbarello, M. Cornalba, P.A. Griffiths: Geometry of algebraic curves. Volume II. With a contribution by Joseph Daniel Harris. Grundlehren der Mathematischen Wissenschaften 268. Springer, Heidelberg, 2011

2011

Later among the works it cites.

S. Brannetti, M. Melo, F. Viviani: On the tropical Torelli map . Adv. Math. 226 (2011), 2546-2586

2011

Later among the works it cites.

L. Caporaso, F. Viviani: Torelli theorem for stable curves . J. Europ. Math. Soc. (JEMS) 13 (2011), 1289–1329