Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monads on multiprojective spaces and associated vector bundles   In this paper we establish the existence of monads on Cartesian products of
projective spaces. We construct vector bundles associated to monads on
$\mathbb{P}^{a_1}\times\mathbb{P}^{a_1}\times\mathbb{P}^{a_2}\times\mathbb{P}^{a_2}\times\cdots\times\mathbb{P}^{a_n}\times\mathbb{P}^{a_n}$.
Once the monad on $X$ exists the next natural question is if the cohomology
vector bundle associated to these monads are simple or not. We study these
vector bundles associated to monads on $X$ and prove their stability and
simplicity.

10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an