Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real $K3$ surfaces without real points, equivariant determinant of the
  Laplacian, and the Borcherds Phi-function   We consider an equivariant analogue of a conjecture of Borcherds. Let $Y$ be
a real $K3$ surface without real points. Let $g$ be a Ricci-flat Kaehler metric
on $Y$ invariant under the complex conjugation. We shall prove that the
equivariant determinant of the Laplacian of $(Y,g)$ with respect to the complex
conjugation is expressed as the norm of the Borcherds Phi-function at the
"period point". Here the period is not the one in algebraic geometry.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio