Extremal Point Sets and Gorenstein Ideals
By A. V. Geramita, T. Harima, Y. Shin. 2000
49 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/cecd4064a299aa0d91969f1d24d2ad43e9aa66fb
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Uwe Nagel
- Juan Migliore
- A. V. Geramita
- Irena Peeva
- M. Stillman
- Karim A. Adiprasito
- R. Mir'o-Roig
- M. Boij
In Computational Theory and Mathematics
- Uwe Nagel
- Juan Migliore
- A. V. Geramita
- Irena Peeva
- M. Stillman
- Karim A. Adiprasito
- R. Mir'o-Roig
- M. Boij
In Geometry and Topology
- A. V. Geramita
- Uwe Nagel
- Juan Migliore
- Irena Peeva
- M. Stillman
- Karim A. Adiprasito
- Brian Harbourne
- Valery Alexeev
Citations in the corpus
- Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers (2001, methodology): “1 of [19]:”
- On the first infinitesimal neighborhood of a linear configuration of points in P2 (2006, background): “Diesel [22] and Geramita and Migliore [33], while for Gorenstein rings with the Weak Lefschetz Property see, e.g., Geramita, Harima, and Shin [ 30 ], Migliore and Nagel [51], where there are sharp upper bounds.”
- Open Problems on Syzygies and Hilbert Functions (2009, background): “(Geramita-Harima-Shin) [58] Does there exist an ideal which has greatest graded Betti numbers among all Gorenstein artinian graded ideals with a fixed Hilbert function? The problem is solved under the additional hypothesis that the weak Lefschetz property holds in [92].”