This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and S\"oderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes over polynomial rings, to all finitely generated graded rings admitting linear Noether normalizations. The key new input is the existence of lim Ulrich sequences of graded modules over such rings.Comment: 26 page
AbstractWe prove that Gotzmann's Persistence Theorem holds over every Clements–Lindström ring. We al...
We give a combinatorial description of local cohomology modules of a graded module over a semigroup ...
This dissertation deals with questions concerning ideals and modules over graded or local noetherian...
This paper extends the results of Boij, Eisenbud, Erman, Schreyer and Söderberg on the structure of ...
We describe the cone of Betti tables of all finitely generated graded modules over the homogeneous c...
We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
Boij–Söderberg theory is the study of two cones: the cone of Betti diagrams of standard graded mini...
Finite group actions on free resolutions and modules arise naturally in many interesting examples. U...
Topics covered are: Cohen Macaulay modules, zero-dimensional rings, one-dimensional rings, hypersurf...
The MultiplicitySequence package for Macaulay2 computes the multiplicity sequence of a graded ideal ...
Let $A$ be a Dedekind domain of characteristic zero such that its localization at every maximal idea...
Each connected graded, graded-commutative algebra $A$ of finite type over a field $\Bbbk$ of charact...
For a hyperplane arrangement in a real vector space, the coefficients of its Poincar\'{e} polynomial...
One of the common invariants of a graded module over a graded commutative ring is the Betti number. ...
AbstractWe prove that Gotzmann's Persistence Theorem holds over every Clements–Lindström ring. We al...
We give a combinatorial description of local cohomology modules of a graded module over a semigroup ...
This dissertation deals with questions concerning ideals and modules over graded or local noetherian...
This paper extends the results of Boij, Eisenbud, Erman, Schreyer and Söderberg on the structure of ...
We describe the cone of Betti tables of all finitely generated graded modules over the homogeneous c...
We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
Boij–Söderberg theory is the study of two cones: the cone of Betti diagrams of standard graded mini...
Finite group actions on free resolutions and modules arise naturally in many interesting examples. U...
Topics covered are: Cohen Macaulay modules, zero-dimensional rings, one-dimensional rings, hypersurf...
The MultiplicitySequence package for Macaulay2 computes the multiplicity sequence of a graded ideal ...
Let $A$ be a Dedekind domain of characteristic zero such that its localization at every maximal idea...
Each connected graded, graded-commutative algebra $A$ of finite type over a field $\Bbbk$ of charact...
For a hyperplane arrangement in a real vector space, the coefficients of its Poincar\'{e} polynomial...
One of the common invariants of a graded module over a graded commutative ring is the Betti number. ...
AbstractWe prove that Gotzmann's Persistence Theorem holds over every Clements–Lindström ring. We al...
We give a combinatorial description of local cohomology modules of a graded module over a semigroup ...
This dissertation deals with questions concerning ideals and modules over graded or local noetherian...