Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Segre indices and Welschinger weights as options for invariant count of
  real lines   In our previous paper we have elaborated a certain signed count of real lines
on real projective n-dimensional hypersurfaces of degree 2n-1. Contrary to the
honest "cardinal" count, it is independent of the choice of a hypersurface, and
by this reason provides a strong lower bound on the honest count. In this count
the contribution of a line is its local input to the Euler number of a certain
auxiliary vector bundle. The aim of this paper is to present other, in a sense
more geometric, interpretations of this local input. One of them results from a
generalization of Segre species of real lines on cubic surfaces and another
from a generalization of Welschinger weights of real lines on quintic
threefolds.

10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex