On efficient generation of pull-back of {$T\sb {\Bbb P\sp n}(-1)$}
Dutta, S. P.
Illinois J. Math., Tome 51 (2007) no. 3, p. 57-65 / Harvested from Project Euclid
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Let $f: X\to \mathbb P^n$ be a proper map such that dimension of $f(X)\ge 2$. We address the following question: Is $\dim H^o(X,\,f^{\ast}(T_{\mathbb P^n}(-1)) = n + 1$? We provide an affirmative answer under standard mild restrictions on $X$. We also point out that this provides an affirmative answer to a similar question raised via regular alteration of a closed subvariety in a blow-up of a regular local ring at its closed point in the mixed characteristics.
Publié le : 2007-01-15
Classification:  13H15,  14C17,  14F10 
@article{1258735324,
     author = {Dutta, S. P.},
     title = {On efficient generation of pull-back of {$T\sb {\Bbb P\sp n}(-1)$}},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 57-65},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258735324}
}

Dutta, S. P. On efficient generation of pull-back of {$T\sb {\Bbb P\sp n}(-1)$}. Illinois J. Math., Tome 51 (2007) no. 3, pp.  57-65. http://gdmltest.u-ga.fr/item/1258735324/