… modules of Ulrich ideals yields Ulrich modules. Finally, we explore connections to the theory
of modules … of an Ulrich module as well as the Castelnuovo–Mumford regularity of its Rees …

… The modern treatment of Ulrich ideals was started by [24, 25] in 2014, and has been … Ulrich
ideals are summarized, whereas in [25], Ulrich ideals in two-dimensional rational singularities …

… In this paper, we investigate the moduli space of Ulrich bundles … Ulrich bundle of rank |$r$|
for every |$r \ge 2$|⁠. Moreover, we provide a description of the moduli space of stable Ulrich …

… class of lex-segment ideals satisfies these … about lex-segment ideals; for a thorough
treatment see [43] or [21]. Let HM denote the Hilbert function of a finitely generated graded R-module …

… ] that, for a two-dimensional excellent henselian local normal … only if the ring A has a rational
singularity; equivalently, A has a … are only finitely many Ulrich ideals contained in Arf local …

… support varieties for modules over commutative rings. Introduced first in the context of
modules over local complete intersection rings it now encompasses modules over any local ring, …

… support varieties for modules over commutative rings. Introduced first in the context of
modules over local complete intersection rings it now encompasses modules over any local ring, …

… Consider now two general two–dimensional subspaces \(V,V' \subset H^0({\mathcal F}_d)\), …
together with Serre duality on S (recalling that S, having only rational singularities, is Cohen…

… We will see that on \(V_4\), the minimal instanton bundles and the Ulrich bundles of rank 2 …
over a rational or elliptic curve by the classification above. Thus \(\pi (S)\) is two-dimensional. If …

… of parahoric group schemes over two dimensional bases for … The group lifts are constructed
in Section 2 using ideas from [… of F-singularities and (pseudo-)rational singularities. These …