View source for Kawasaki's Riemann–Roch formula

{{short description|Computes the Euler characteristic of an orbifold}}
In [[Differential geometry|differential geometry]], '''Kawasaki's Riemann–Roch formula''', introduced by Tetsuro Kawasaki, is the Riemann–Roch formula for [[Orbifold|orbifold]]s. It can compute the [[Euler characteristic of an orbifold]].

Kawasaki's original proof made a use of the [[Equivariant index theorem|equivariant index theorem]]. Today, the formula is known to follow from the Riemann–Roch formula for [[Quotient stack|quotient stack]]s.

== References ==
*Tetsuro Kawasaki. The Riemann-Roch theorem for complex V-manifolds. Osaka J. Math., 16(1):151–159, 1979

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[[Category:Theorems in differential geometry]]
[[Category:Theorems in algebraic geometry]]

== See also ==
*[[Riemann–Roch-type theorem]]


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