Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing projective equivalences of special algebraic varieties   This paper is devoted to the investigation of selected situations when the
computation of projective (and other) equivalences of algebraic varieties can
be efficiently solved with the help of finding projective equivalences of
finite sets on the projective line. In particular, we design a unifying
approach that finds for two algebraic varieties $X,Y$ from special classes an
associated set of automorphisms of the projective line (the so called good
candidate set) consisting of candidates for the construction of possible
mappings $X\rightarrow Y$. The functionality of the designed method is
presented on computing projective equivalences of rational curves, on
determining projective equivalences of rational ruled surfaces, on the
detection of affine transformations between planar curves, and on computing
similarities between two implicitly given algebraic surfaces. When possible,
symmetries of given shapes are also discussed as special cases.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat