Frobenius splitting of Hilbert schemes of points on surfaces |
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| Authors: | Shrawan Kumar Jesper Funch Thomsen |
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| Institution: | Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599-3250, USA (e-mail: kumar@math.unc.edu), US
Matematisk Institut, Aarhus Universitet, Ny Munkegade, DK-8000 ?rhus C, Denmark (e-mail: funch@imf.au.dk), DK
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| Abstract: | Let X be a quasiprojective smooth surface defined over an algebraically closed field of positive characteristic. In this note we
show that if X is Frobenius split then so is the Hilbert scheme Hilb of n points inX. In particular, we get the higher cohomology vanishing for ample line bundles on Hilb when X is projective and Frobenius split.
Received November 2, 1999 / Published online March 12, 2001 |
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