相关论文: Syzygies of Hibi rings

We present an overview of some recent applications of Higgs bundles and the Hitchin fibration.

Recently, there is an explosive growth of activities to understand stringy properties of orbifolds. In this article, we survey some of recent developments.

We compute the regularity of the Hibi ring of any finite distributive lattice in terms of its poset of join irreducible elements.

We survey recent developments on the Restriction conjecture.

In this note, finite type epimorphisms of rings are characterized.

We provide constructive versions of Hilbert's syzygy theorem for Z and Z/nZ following Schreyer's method. Moreover, we extend these results to arbitrary coherent strict B\'ezout rings with a divisibility test for the case of finitely…

We attempt to survey recent results and open problems connected to Lieb-Thirring inequalities.

We establish basic results on subrings of finite commutative rings and closely related rings. Among other applications we calculate the number of maximal subrings of a finite commutative local ring.

The status of some of the recently discovered heavy hadrons is presented.

We survey some results on toric topology.

We study the Frobenius complexity of Hibi rings over fields of characteristic $p > 0$. In particular, for a certain class of Hibi rings (which we call $\omega^{(-1)}$-level), we compute the limit of the Frobenius complexity as $p…

In this note we compute length, support and dimension of syzygy modules of certain modules. This partially answers questions asked by Huneke et al.

In this article, we prove necessary conditions for Hibi rings to satisfy Green-Lazarsfeld property $N_p$ for $p=2$ and $3$. We also show that if a Hibi ring satisfies property $N_4$, then it is a polynomial ring or it has a linear…

We review recent results on congruence lattices of (infinite) lattices. We discuss results obtained with box products, as well as categorical, ring-theoretical, and topological results.

This is a survey on recent developments in Ricci flows.

We classify the possible shapes of minimal free resolutions over a regular local ring. This illustrates the existence of free resolutions whose Betti numbers behave in surprisingly pathological ways. We also give an asymptotic…

We survey three results on syzygies of curves beyond Green's conjecture, with a particular emphasis on drawing connections between the study of syzygies and other topics in moduli theory.

Recent experimental results on charmless rare b decays are reviewed.

This is a brief survey of recent results related to austere submanifolds, mainly based on the papers [24,25].

This article reports recent developments of the research on Hamilton's Ricci flow and its applications.