Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of Ulrich bundles on blown-up varieties at a point   The objective is to show the construction of an Ulrich vector bundle on the
blowing-up $\widetilde X$ of a nonsingular projective variety $X$ at a closed
point, where the original variety is embedded by a very ample divisor $H$ and
carries an Ulrich vector bundle. In order to achieve this result, we aim to
find a suitable very ample divisor on $\widetilde X$, which is dependent on
$H$. At the end, we take into consideration some applications to surfaces with
regards to minimal models and their Kodaira dimension.

24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph