𝐿²-cohomology, Nash blowup and semismall resolutions

Youssin, Boris

doi:10.1090/S0894-0347-1993-1213798-4

$L^2$-cohomology, Nash blowup and semismall resolutions
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by Boris Youssin

J. Amer. Math. Soc. 6 (1993), 817-824

DOI: https://doi.org/10.1090/S0894-0347-1993-1213798-4

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Abstract:

We study the structure of ${L^2}$-forms on singular complex projective varieties with respect to Fubini-Studi metric using resolution of singularities. We show that a semismall resolution of $X$ has to be small if it can be mapped onto the Nash blowup of $X$.

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