Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 51, Number 1 (2007), 57-65.
On efficient generation of pull-back of {$T\sb {\Bbb P\sp n}(-1)$}
Abstract
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.
Article information
Source
Illinois J. Math., Volume 51, Number 1 (2007), 57-65.
Dates
First available in Project Euclid: 20 November 2009
Permanent link to this document
https://projecteuclid.org/euclid.ijm/1258735324
Digital Object Identifier
doi:10.1215/ijm/1258735324
Mathematical Reviews number (MathSciNet)
MR2346186
Zentralblatt MATH identifier
1127.14016
Subjects
Primary: 13H15: Multiplicity theory and related topics [See also 14C17]
Secondary: 14C17: Intersection theory, characteristic classes, intersection multiplicities [See also 13H15] 14F10: Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [See also 13Nxx, 32C38]
Citation
Dutta, S. P. On efficient generation of pull-back of {$T\sb {\Bbb P\sp n}(-1)$}. Illinois J. Math. 51 (2007), no. 1, 57--65. doi:10.1215/ijm/1258735324. https://projecteuclid.org/euclid.ijm/1258735324
