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29 papers · 1 filter
Regularity of smooth curves in biprojective spaces
Victor Lozovanu
Maclagan and Smith \cite{MaclaganSmith} developed a multigraded version of Castelnuovo-Mumford regularity. Based on their definition we will prove in this paper that for a smooth c…
Syzygies of multiplier ideals on singular varieties
Robert Lazarsfeld, Kyungyong Lee, Karen E. Smith
It was recently established by the first two authors that multiplier ideals on a smooth variety satisfy some special syzygetic properties. The purpose of this note is to show how s…
Jumping Numbers on Algebraic Surfaces with Rational Singularities
Kevin Tucker
In this article, we study the jumping numbers of an ideal in the local ring at rational singularity on a complex algebraic surface. By understanding the contributions of reduced di…
On elements of prime order in the plane Cremona group over a perfect field
Igor V. Dolgachev, Vasily A. Iskovskikh
We show that the plane Cremona group over a perfect field of characteristic contains an element of prime order not equal to if and only if there exist…
Multiplier ideals of sums via cellular resolutions
Shin-Yao Jow, Ezra Miller
Fix nonzero ideal sheaves a_1,...,a_r on a normal Q-Gorenstein complex variety X. Fix any positive real number c, and consider the multiplier ideal J of the sum a_1+...+a_r with we…
A Briancon-Skoda type theorem for graded systems of ideals
Alex Kuronya, Alexandre Wolfe
We establish a generalization of the Briancon-Skoda theorem about integral closures of ideals for graded systems of ideals satisfying a certain geometric condition.