Commutative Algebra and Noncommutative Algebraic Geometry
Volume 2. Research Articles
Part of Mathematical Sciences Research Institute Publications
 Editors:
 David Eisenbud, University of California, Berkeley
 Srikanth B. Iyengar, University of Utah
 Anurag K. Singh, University of Utah
 J. Toby Stafford, University of Manchester
 Michel Van den Bergh, Fonds Wetenschappelijk Onderzoek (FWO), Belgium
 Date Published: November 2015
 availability: Available
 format: Hardback
 isbn: 9781107149724
Hardback
Looking for an inspection copy?
This title is not currently available on inspection

In the 2012–13 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013). There have been many significant developments in these fields in recent years; what is more, the boundary between them has become increasingly blurred. This was apparent during the MSRI program, where there were a number of joint seminars on subjects of common interest: birational geometry, Dmodules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, and tilting theory, to name a few. These volumes reflect the lively interaction between the subjects witnessed at MSRI. The Introductory Workshops and Connections for Women Workshops for the two programs included lecture series by experts in the field. The volumes include a number of survey articles based on these lectures, along with expository articles and research papers by participants of the programs. Volume 2 focuses on the most recent research.
Read more Highquality articles survey the current state of knowledge in this extremely active field
 Focuses on areas of common interest which emphasise the lively interaction between commutative algebra and noncommutative algebraic geometry
 Valuable to researchers and graduate students studying algebra and algebraic geometry
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
 Date Published: November 2015
 format: Hardback
 isbn: 9781107149724
 length: 302 pages
 dimensions: 234 x 156 x 18 mm
 weight: 0.6kg
 contains: 10 b/w illus.
 availability: Available
Table of Contents
Preface David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh
1. When is a squarefree monomial ideal of linear type? Ali Alilooee and Sara Faridi
2. Modules for elementary abelian groups and hypersurface singularities David J. Benson
3. Ideals generated by superstandard tableaux Andrew Berget, Winfried Bruns and Aldo Conca
4. Zariski topologies on stratified spectra of quantum algebras Kenneth A. Brown and Kenneth R. Goodearl
5. The derived category of a graded Gorenstein ring Jesse Burke and Greg Stevenson
6. Singularities with respect to Mather–Jacobian discrepancies Lawrence Ein and Shihoko Ishii
7. Reduction numbers and balanced ideals Louiza Fouli
8. Unipotent and Nakayama automorphisms of quantum nilpotent algebras Kenneth R. Goodearl and Milen T. Yakilmov
9. Formal fibers of prime ideals in polynomial rings William Heinzer, Christel Rotthaus and Sylvia Wiegand
10. Bounding the socles of powers of squarefree monomial ideals Jürgen Herzog and Takayuki Hibi
11. An intriguing ring structure on the set of dforms Jürgen Herzog, Leila Sharifan and Matteo Varbaro
12. On the subadditivity problem for maximal shifts in free resolutions Jürgen Herzog and Hema Srinivasan
13. The cone of Betti tables over a rational normal curve Manoj Kummini and Steven V. Sam
14. Adjoint associativity  an invitation to algebra in ∞categories Joseph Lipman.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed