Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces Paperback / softback
by Cristian Anghel, Iustin Coanda, Nicolae Manolache
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
The authors provide a complete classification of globally generated vector bundles with first Chern class $c_1 \leq 5$ one the projective plane and with $c_1 \leq 4$ on the projective $n$-space for $n \geq 3$.
This reproves and extends, in a systematic manner, previous results obtained for $c_1 \leq 2$ by Sierra and Ugaglia [J.
Pure Appl. Algebra 213 (2009), 2141-2146], and for $c_1 = 3$ by Anghel and Manolache [Math.
Nachr. 286 (2013), 1407-1423] and, independently, by Sierra and Ugaglia [J.
Pure Appl. Algebra 218 (2014), 174-180]. It turns out that the case $c_1 = 4$ is much more involved than the previous cases, especially on the projective 3-space.
Among the bundles appearing in our classification one can find the Sasakura rank 3 vector bundle on the projective 4-space (conveniently twisted).
The authors also propose a conjecture concerning the classification of globally generated vector bundles with $c_1 \leq n - 1$ on the projective $n$-space.
They verify the conjecture for $n \leq 5$.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:101 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2018
- Category:
- ISBN:9781470428389
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:101 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2018
- Category:
- ISBN:9781470428389
