102 citations · 410 across the 32 of their papers we have counts for
Showing 2011 · math.ACShow all
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math.AC2011★ 15 cited
F-signature of pairs: Continuity, p-fractals and minimal log discrepancies
Manuel Blickle, Karl Schwede, Kevin Tucker
This paper contains a number of observations on the {-signature} of triples $(R,Δ,\ba^t)$ introduced in our previous joint work. We first show that the -signature $s(R,Δ,\ba^…
math.AC2011★ 8 cited
F-signature of pairs and the asymptotic behavior of Frobenius splittings
Manuel Blickle, Karl Schwede, Kevin Tucker
We generalize -signature to pairs where is a Cartier subalgebra on as defined by the first two authors. In particular, we show the existence and positivity of th…
math.AC2011★ 102 cited
F-signature exists
Kevin Tucker
Suppose R is a Noetherian local ring with prime characteristic p>0. In this article, we show the existence of a local numerical invariant, called the F-signature, which roughly cha…