The Michigan Mathematical Journal is published by the Department of Mathematics at The University of Michigan and endeavors to publish significant research articles in all areas of mathematics.
Special Issue in honor of Melvin Hochster
Volume 57
Publication Date: August 2008
Dedication and Bio
Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
Ian M. Aberbach and Florian Enescu; 1-16
Gorenstein algebras and Hochschild cohomology
Luchezar Avramov and Srikanth Iyengar; 17-35
Singularities of moduli spaces of vector bundles over curves in characteristic 0 and p
T. E. Venkata Balaji and Vikram B. Mehta; 37-42
Discreteness and rationality of F-thresholds
Manuel Blickle, Mircea Mustata and Karen E. Smith; 43-61
A remark on Frobenius descent for vector bundles
Holger Brenner and Almar Kaid; 63-69
Gröbner bases and Betti numbers of monoidal complexes
Winfried Bruns, Robert Koch and Tim Römer; 71-91
Complete intersections on general hypersurfaces
Enrico Carlini, Luca Chiantini and Anthony Geramita; 121-136
Duality and tameness
Marc Chardin, Steven Dale Cutkosky, Jürgen Herzog and Hema Srinivasan; 137-155
Canonical Hilbert-Burch matrices for ideals of k[x,y]
Aldo Conca and Giuseppe Valla; 157-172
Semigroups of valuations on local rings
Steven Dale Cutkosky and Bernard Teissier; 173-193
On injectivity of maps between Grothendieck groups induced by completion
Hailong Dao; 195-199
Hyperplace arrangements and box splines
A. Björner, C. De Concini and Claudio Procesi; 201-225
Intersection multiplicity, canonical element conjecture and the syzygy problem
S. P. Dutta and Phillip Griffith; 227-247
Global division of cohomology classes via injectivity
Lawrence Ein and Mihnea Popa; 249-259
Structure theorems for certain Gorenstein ideals
Juan Elias and Giuseppe Valla; 269-292
The core of ideals in arbitrary characteristic
Louiza Fouli, Claudia Polini and Bernd Ulrich; 305-319
Ascent of module structures, vanishing of Ext, and extended modules
Anders Frankild, Sean Sather-Wagstaff and Roger Wiegand; 321-337
Hilbert functions over toric rings
Vesselin Gasharov, Noam Horwitz and Irena Peeva; 339-357
Local cohomology on diagrams of schemes
Mitsuyasu Hashimoto and Masahiro Ohtani; 383-425
Multi-ideal-adic completions of Noetherian rings
William Heinzer, Christel Rotthaus and Sylvia Wiegand; 427-438
F-Thresholds, tight closure, integral closure, and multiplicity bounds
Craig Huneke, Mircea Mustata, Shunsuke Takagi and Ken-ichi Watanabe; 463-483
A local ring such that the map between Grothendieck groups with rational coefficients induced by completion is not injective
Kazuhiko Kurano and Vasudevan Srinivas; 485-498
Frobenius splitting of certain rings of invariants
V. Lakshmibai, K. N. Raghavan and P. Sankaran; 499-510
Syzygies of multiplier ideals on singular varieties
Robert Lazarsfeld, Kyungyong Lee and Karen E. Smith; 511-521
Oriented cohomology, Borel-Moore homology, and algebraic cobordism
Marc Levine; 523-572
A vanishing theorem for finitely supported ideals in regular local rings
Joseph Lipman; 573-585
On points at infinity of real spectra of polynomial rings
Francios Lucas, Daniel Schaub and Mark Spivakovsky; 587-599
A property of the absolute integral closure of an excellent local domain in mixed characteristic
Gennady Lyubeznik; 601-604
Rationality of Hilbert-Kunz multiplicities: A likely counterexample
Paul Monsky; 605-613
Rational singularities associated to pairs
Karl Schwede and Shunsuke Takagi; 625-658
Noncommutative resolutions and rational singularities
J. T. Stafford and M. Van den Bergh; 659-674
Toric geometry of cuts and splits
Bernd Sturmfels and Seth Sullivant; 689-709
Generalized test ideals and symbolic powers
Shunsuke Takagi and Ken-ichi Yoshida; 711-724
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