Papers by Steven Dale Cutkosky

Some Recent Papers

cutkoskys@missouri.edu

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Multiplicities Associated to Graded Families of Ideals
Weak local monomialization of germs of generically finite complex analytic morphisms.
Lectures on Geometric Methods in Commutative Algebra, from the 7th Japan Vietnam joint conference in commutative algebra.
Valuation semigroups of two dimensional local rings (with Pham An Vinh).
Asymptotic growth of saturated powers and epsilon multiplicity.
A simpler proof of toroidalization of morphisms from 3-folds to surfaces.
A skeleton key to Abhyankar's proof of embedded resolution of characteristic p surfaces.
Asymptotic Regularity of Powers of Ideals of Points in a Weighted Projective Space (with Kazuhiko Kurano).
Abhyankar's Proof of Uniformization in $p$-cyclic Galois Extensions.
Formal Prime Ideals of Infinite Value and Their Algebraic Resolution (with Samar ElHitti).
Lectures on Resolution of Singularities, from the Workshop on Multiplicity Conjectures, Resolution of Singularities and Toric Geometry, IIT Madras, Dec. 22, 2008 - Jan 3, 2009.
Growth of rank 1 valuation semigroups (with Kia Dalili and Olga Kashcheyeva).
Semigroups of valuations on local rings, II (with Bernard Teissier).
Asymptotic growth of algebras associated to powers of ideals (with Juergen Herzog and Hema Srinivasan).
Semigroups of valuations dominating local domains.
Algebraic Series and Valuation Rings over Nonclosed Fields (with Olga Kashcheyeva).
Semigroups of valuations on local rings (with Bernard Teissier).
Duality and tameness (with Marc Chardin, Juergen Herzog and Hema Srinivasan).
Failure of tameness for local cohomology (with Juergen Herzog).
Resolution of singularities for 3-folds in positive characteristic.
Toroidalization of dominant morphisms of 3-folds.
Strong toroidalization of dominant morphisms of 3-folds.
Graded algebras associated to surface singularities.
Strong toroidalization of birational morphisms of 3-folds.
Toroidalization of Morphisms (Lectures from December 2004 Banff workshop).
Factorizations of birational extensions of local rings (with Hema Srinivasan)
Toroidalization of birational morphisms of 3-folds
Asymptotic behavior of the length of local cohomology (with Tai Ha, Hema Srinivasan and Emanoil Thoedorescu)
Completions of Valuation Rings (with Laura Ghezzi)
Local Monomialization of Transcendental Extensions
Poincare series of resolutions of surface singularities (with Juergen Herzog and Ana Reguerra)
Poincare series of line bundles on varieties (in a volume in honor of Professor Seshadri's 70th birthday)
Arithmetic Macaulayfication (with Huy Tai Ha, in a volume of Journal of Pure and Applied Algebra in honor of Professor Vasconcelos 65th birthday)
Monomialization of Strongly prepared Morphisms from Nonsingular N-folds to Surfaces (with Olga Kashcheyeva, in Journal of Algebra)
Ramification of Valuations (with Olivier Piltant, in Advances in Mathematics) (
Generically finite Morphisms and simultaneous resolution of singularities (in Contemporary Mathematics)
Monomialization of Morphisms from 3 Folds to Surfaces (Springer Lecture Notes in Math 1786, 2002)
Positivity and complexity of ideal sheaves (with L. Ein and R. Lazarsfeld), Math Ann. 2001
Monomial Resolutions of Morphisms of Algebraic Surfaces (with O. Piltant)
Vanishing of differentials along ideals and non-archimedean approximation (with Reinhold Huebl)
Irrational asymptotic behaviour of Castelnuovo-Mumford regularity (in .pdf format)
Local monomialization and factorization of morphisms
Erratat to Local monomialization and factorization of morphisms
Simultaneous resolution of singularities
Asymptotic behaviour of the Castelnuovo-Mumford regularity (with Juergen Herzog and Ngo Viet Trung)
The Algebraic Fundamental Group of a Curve Singularity (with Hema Srinivasan)