Computations of Bott-Chern classes on P(E)
Mourougane, Christophe
HAL, hal-00000364 / Harvested from HAL
Text on HAL
We compute the Bott-Chern classes of the metric Eulersequence describing the relative tangent bundle of the variety P(E) of hyperplans of a holomorphic hermitian vector bundle (E,h) on a complex manifold.We give applications to the construction of the arithmetic characteristic classes of an arithmetic vector bundle and to the computation of the height of P(E)with respect to the tautological quotient bundle O_E(1).
Publié le : 2004-07-05
Classification:  Bott-Chern secondary classes,  metric relative Euler sequence,  arithmetic characteristic classes,  32L10, 14G40,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00000364,
     author = {Mourougane, Christophe},
     title = {Computations of Bott-Chern classes on P(E)},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00000364}
}

Mourougane, Christophe. Computations of Bott-Chern classes on P(E). HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000364/