Abstract
It is known that a complete linear system on a projective variety in a projective space is generated from the linear system of the projective space by restriction if its degree is sufficiently large. We obtain a bound of degree of linear systems on weighted projective spaces when they are generated from those of the projective spaces. In particular, we show that a weighted projective 3-space embedded by a complete linear system is projectively normal. We treat more generally Q-factorial toric varieties with the Picard number one, and obtain the same bounds for them as those of weighted projective spaces.
Original language | English |
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Pages (from-to) | 519-524 |
Number of pages | 6 |
Journal | Kodai Mathematical Journal |
Volume | 28 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2005 |
ASJC Scopus subject areas
- Mathematics(all)