58 citations · 399 across the 82 of their papers we have counts for
92 papers
Computing Gröbner Bases and Free Resolutions of OI-Modules
Michael Morrow, Uwe Nagel
Given a sequence of related modules defined over a sequence of related polynomial rings, one may ask how to simultaneously compute a finite Gröbner basis for each . Furt…
Unexpected hypersurfaces and their consequences: A Survey
Brian Harbourne, Juan Migliore, Uwe Nagel
The notion of an unexpected curve in the plane was introduced in 2018, and was quickly generalized in several directions in a flurry of mathematical activity by many authors. In th…
On the Weak Lefschetz Property for height four equigenerated complete intersections
Mats Boij, Juan Migliore, Rosa M. Miró-Roig +1
We consider the conjecture that all artinian height 4 complete intersections of forms of the same degree have the Weak Lefschetz Property (WLP). We translate this problem to on…
Buchsbaum-Eisenbud complexes of OI-modules
Nathan Fieldsteel, Uwe Nagel
We extend the theory of Koszul and Buchsbaum-Eisenbud complexes to modules over commutative OI-algebras and show that they still have the familiar properties of the classical compl…
Shift Invariant Algebras, Segre Products and Regular Languages
Aida Maraj, Uwe Nagel
Motivated by results on the rationality of equivariant Hilbert series of some hierarchical models in algebraic statistics we introduce the Segre product of formal languages and app…
A formula for symbolic powers
Paolo Mantero, Cleto B. Miranda-Neto, Uwe Nagel
Let be a Cohen-Macaulay ring which is local or standard graded over a field, and let be an unmixed ideal that is also generically a complete intersection. Our goal in this…