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11 papers · 1 filter
Jumping coefficients and spectrum of a hyperplane arrangement
Nero Budur, Morihiko Saito
In an earlier version of this paper written by the second named author, we showed that the jumping coefficients of a hyperplane arrangement depend only on the combinatorial data of…
Minimal links and a result of Gaeta
Juan Migliore, Uwe Nagel
If is an equidimensional codimension subscheme of an -dimensional projective space, and is linked to by a complete intersection , then we say that is {\e…
Jumping numbers of hyperplane arrangements
Nero Budur
M. Saito recently proved that the jumping numbers of a hyperplane arrangement depend only on the combinatorics of the arrangement. However, a formula in terms of the combinatorial…
Liaison addition and the structure of a Gorenstein liaison class
Robin Hartshorne, Juan Migliore, Uwe Nagel
We study the concept of liaison addition for codimension two subschemes of an arithmetically Gorenstein projective scheme. We show how it relates to liaison and biliaison classes o…
Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers
Nero Budur
The space of unitary local systems of rank one on the complement of an arbitrary divisor in a complex projective algebraic variety can be described in terms of parabolic line bundl…
Invariant curves for birational surface maps
Jeffrey Diller, Daniel Jackson, Andrew Sommese
We classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most…