Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Bounded Negativity Conjecture and singular plane curves   There are no known failures of Bounded Negativity in characteristic 0. In the
light of recent work showing the Bounded Negativity Conjecture fails in
positive characteristics for rational surfaces, we propose new characteristic
free conjectures as a replacement. We also develop bounds on numerical
characteristics of curves constraining their negativity. For example, we show
that the $H$-constant of a rational curve $C$ with at most $9$ singular points
satisfies $H(C)>-2$ regardless of the characteristic.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an