►A parametrizedsurface
is defined by
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►►The area
of a parametrized smooth surface is given by
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►The integral of a continuous function over a surface
is
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►Figure 21.4.1 provides surfaces of the scaled Riemann theta function , with
…This Riemann matrix originates from the Riemann surface represented by the algebraic curve ; compare §21.7(i).
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►Stokes sets are surfaces (codimension one) in space, across which or acquires an exponentially-small asymptotic contribution (in ), associated with a complex critical point of or .
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►In Figure 36.5.4 the part of the Stokes surface inside the bifurcation set connects two complex saddles.
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