Slopes of trigonal fibred surfaces and of higher dimensional fibrations

Barja, Miguel Ángel; Stoppino, Lidia

Barja, Miguel Ángel ; Stoppino, Lidia

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 4, p. 647-658

Résumé

We give lower bounds for the slope of higher dimensional fibrations

f : X ⟶ B

over curves under conditions of GIT-semistability of the fibres, using a generalization of a method of Cornalba and Harris. With the same method we establish a sharp lower bound for the slope of trigonal fibrations of even genus and general Maroni invariant; this result in particular proves a conjecture due to Harris and Stankova-Frenkel.

MR 2647907 | Zbl 1204.14017

Classification: 14J10, 14J29, 14D06

@article{ASNSP_2009_5_8_4_647_0,
     author = {Barja, Miguel \'Angel and Stoppino, Lidia},
     title = {Slopes of trigonal fibred surfaces and of higher dimensional fibrations},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 8},
     number = {4},
     year = {2009},
     pages = {647-658},
     zbl = {1204.14017},
     mrnumber = {2647907},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2009_5_8_4_647_0}
}

Barja, Miguel Ángel; Stoppino, Lidia. Slopes of trigonal fibred surfaces and of higher dimensional fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 4, pp. 647-658. http://www.numdam.org/item/ASNSP_2009_5_8_4_647_0/

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