Slopes of trigonal fibred surfaces and of higher dimensional fibrations | Zendy

Barja Miguel A. | Zendy; Lidia Stoppino | Zendy

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Slopes of trigonal fibred surfaces and of higher dimensional fibrations

Author(s) -

Barja Miguel A.,

Lidia Stoppino

Publication year - 2009

Publication title -

annali scuola normale superiore - classe di scienze

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.444

H-Index - 37

eISSN - 2036-2145

pISSN - 0391-173X

DOI - 10.2422/2036-2145.2009.4.02

Subject(s) - fibered knot , mathematics , surjective function , trigonal crystal system , conjecture , quotient , combinatorics , ample line bundle , dimension (graph theory) , mathematical analysis , pure mathematics , geometry , crystallography , chemistry , crystal structure

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; in particular this result proves a conjecture due to Harris and Stankova-Frenkel

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