Singularities of Rees-like algebras
DOI10.1007/s00209-020-02524-6zbMath1456.13013arXiv1903.00973OpenAlexW3013574909MaRDI QIDQ2223521
Paolo Mantero, Lance Edward Miller, Jason McCullough
Publication date: 29 January 2021
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00973
regularitysingular locusseminormalF-splitRees-like algebraprime standardizationstep-by-step homogenization
Homological dimension and commutative rings (13D05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Singularities of surfaces or higher-dimensional varieties (14J17) Syzygies, resolutions, complexes and commutative rings (13D02) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)
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Cites Work
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- Graded syzygies
- Linear free resolutions and minimal multiplicity
- Some results on weakly normal ring extensions
- Multiple structures with arbitrarily large projective dimension supported on linear subspaces
- On a theorem of Castelnuovo, and the equations defining space curves
- A Castelnuovo bound for smooth surfaces
- A sharp Castelnuovo bound for smooth surfaces
- On linear complete intersections
- Some structure theorems for finite free resolutions
- Local differential geometry and generic projections of threefolds
- Seminormalization package for Macaulay2
- On the maximal graded shifts of ideals and modules
- A bound for Castelnuovo-Mumford regularity by double point divisors
- What makes a complex exact?
- Counterexamples to the Eisenbud–Goto regularity conjecture
- Generic inner projections of projective varieties and an application to the positivity of double point divisors
- Seminormal rings and weakly normal varieties
- The Geometry of Syzygies
- Small subalgebras of polynomial rings and Stillman’s Conjecture
- Minimal Homogenous Liaison and Licci Ideals
- The regularity of Tor and graded Betti Numbers
- Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
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