Arakelov-type inequalities for Hodge bundles
Peters, Chris
HAL, hal-00131585 / Harvested from HAL
Text on HAL
We give a proof of generalizations of the classical Arakelov inequality valid for the degree $d$ of the relative canoincal bundle of a family of curves of genus $g$ over a complete curve of genus $p$ under the assumption that the monodromy around the singular fibers is unipotent. This relative canonical bundle is the (canonical extension of) the Hodge bundle and the inequality is generalized to the degrees of the Hodge bundles of a complex variation of Hodge structures.
Publié le : 2000-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00131585,
     author = {Peters, Chris},
     title = {Arakelov-type inequalities for Hodge bundles},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00131585}
}

Peters, Chris. Arakelov-type inequalities for Hodge bundles. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00131585/