Results 31 to 40 of about 194,411 (117)
From points to complexes: A concept of unexpectedness for simplicial complexes
Abstract In 2018, Cook, Harbourne, Migliore, and Nagel introduced the concept of unexpected hypersurfaces, which connects the study of Lefschetz properties of Artinian algebras defined by powers of linear forms to a family of interpolation problems.
Thiago Holleben
wiley +1 more source
Rees algebras of diagonal ideals
There is a natural epimorphism from the symmetric algebra to the Rees algebra of an ideal. When this epimorphism is an isomorphism, we say that the ideal is of linear type. Given two determinantal rings over a field, we consider the diagonal ideal, the kernel of the multiplication map.
openaire +3 more sources
New algebraic properties of quadratic quotients of the Rees algebra [PDF]
We study some properties of a family of rings [Formula: see text] that are obtained as quotients of the Rees algebra associated with a ring [Formula: see text] and an ideal [Formula: see text]. In particular, we give a complete description of the spectrum of every member of the family and describe the localizations at a prime ideal.
D'Anna M, Strazzanti F
openaire +4 more sources
Type II degenerations of K3 surfaces of degree 4
Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
wiley +1 more source
Rees algebras of conormal modules
We deal with classes of prime ideals whose associated graded ring is isomorphic to the Rees algebra of the conormal module in order to describe the divisor class group of the Rees algebra and to examine the normality of the conormal module.
openaire +2 more sources
Methods to estimate marine functional connectivity: A primer
Abstract Organism movement is a key process in the transfer of individuals, genes, functional traits, matter, and energy among habitat patches, at sea and across the land–sea interface. The resulting fluxes, collectively termed marine functional connectivity (MFC), underpin planetary health and an array of ecosystem services.
Anna M. Sturrock +31 more
wiley +1 more source
On the K‐stability of blow‐ups of projective bundles
Abstract We investigate the K‐stability of certain blow‐ups of P1$\mathbb {P}^1$‐bundles over a Fano variety V$V$, where the P1$\mathbb {P}^1$‐bundle is the projective compactification of a line bundle L$L$ proportional to −KV$-K_V$ and the center of the blow‐up is the image along a positive section of a divisor B$B$ also proportional to L$L$. When V$V$
Daniel Mallory
wiley +1 more source
Rees algebras of diagonal ideals
Given two varieties, we can construct the embedded join variety. The homogeneous coordinate ring of this variety is the special fiber ring of the diagonal ideal of the original varieties. The varieties we consider here are determinantal varieties.
Lin, Kuei-Nuan, Kuei-nuan Lin
core +1 more source
Beyond the Non‐Hermitian Skin Effect: Scaling‐Controlled Topology from Exceptional‐Bound Bands
ABSTRACT We establish a novel mechanism for topological transitions in non‐Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional‐bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well‐known non‐Hermitian skin ...
Mengjie Yang, Ching Hua Lee
wiley +1 more source
Classification of limits of upper triangular matrix algebras. [PDF]
Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are ...
Hopenwasser, A. L., Power, Stephen C.
core +4 more sources

