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math.AG2000
The Module of Logarithmic p-forms of a Locally Free Arrangement
Mircea Mustata, Hal Schenck
For an essential, central hyperplane arrangement A in V=k^{n+1}, we show that Ω^1(A) (the module of logarithmic one forms with poles along A) gives rise to a locally free sheaf on…
math.AC2000
Local Cohomology at Monomial Ideals
Mircea Mustata
For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p,…
math.AG2000
Vanishing Theorems on Toric Varieties
Mircea Mustata
We use Cox's description for sheaves on toric varieties and results about the local cohomology with respect to monomial ideals to give a characteristic free approach to vanishing r…