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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.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…