Displaying similar documents to “On the number of compatibly Frobenius split subvarieties, prime F -ideals, and log canonical centers”

Valuations and asymptotic invariants for sequences of ideals

Mattias Jonsson, Mircea Mustaţă (2012)

Annales de l’institut Fourier

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We study asymptotic jumping numbers for graded sequences of ideals, and show that every such invariant is computed by a suitable real valuation of the function field. We conjecture that every valuation that computes an asymptotic jumping number is necessarily quasi-monomial. This conjecture holds in dimension two. In general, we reduce it to the case of affine space and to graded sequences of valuation ideals. Along the way, we study the structure of a suitable valuation space. ...

On Bochner-Martinelli residue currents and their annihilator ideals

Mattias Jonsson, Elizabeth Wulcan (2009)

Annales de l’institut Fourier

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We study the residue current R f of Bochner-Martinelli type associated with a tuple f = ( f 1 , ⋯ , f m ) of holomorphic germs at 0 ∈ C n , whose common zero set equals the origin. Our main results are a geometric description of R f in terms of the Rees valuations associated with the ideal ( f ) generated by f and a characterization of when the annihilator ideal of R f equals ( f ) .

A minimal Set of Generators for the Ring of multisymmetric Functions

David Rydh (2007)

Annales de l’institut Fourier

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The purpose of this article is to give, for any (commutative) ring A , an explicit minimal set of generators for the ring of multisymmetric functions T S A d ( A [ x 1 , ⋯ , x r ] ) = A [ x 1 , ⋯ , x r ] ⊗ A d 𝔖 d as an A -algebra. In characteristic zero, i.e. when A is a ℚ -algebra, a minimal set of generators has been known since the 19th century. A rather small generating set in the general case has also recently been given by Vaccarino but it is not minimal in general. We also give a sharp degree bound on the generators, improving...