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Arnold's Trivium
1991 Arnold's Trivium
53
Problem 53
Problem 53
Source:
July 1, 2010
algebra
polynomial
Problem Statement
Investigate the singular points of the differential form
d
t
=
d
x
/
y
dt = dx/y
d
t
=
d
x
/
y
on the compact Riemann surface
y
2
/
2
+
U
(
x
)
=
E
y^2/2 + U(x) = E
y
2
/2
+
U
(
x
)
=
E
, where
U
U
U
is a polynomial and
E
E
E
is not a critical value.
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