Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 60, Number 2 (2008), 341-361.
Varieties of small degree with respect to codimension and ample vector bundles
Let be an ample vector bundle on a projective manifold , with a section vanishing on a smooth subvariety of the expected dimension, and let be an ample line bundle on inducing a very ample ample line bundle on . Triplets as above are classified assuming that , embedded by , is a variety of small degree with respect to codimension.
J. Math. Soc. Japan, Volume 60, Number 2 (2008), 341-361.
First available in Project Euclid: 30 May 2008
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx]
Secondary: 14F05: Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20] 14C20: Divisors, linear systems, invertible sheaves 14J40: $n$-folds ($n > 4$) 14N30: Adjunction problems
LANTERI, Antonio; NOVELLI, Carla. Varieties of small degree with respect to codimension and ample vector bundles. J. Math. Soc. Japan 60 (2008), no. 2, 341--361. doi:10.2969/jmsj/06020341. https://projecteuclid.org/euclid.jmsj/1212156654