Results 31 to 40 of about 734 (182)
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
Green index in semigroups : generators, presentations and automatic structures
The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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
Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi +3 more
wiley +1 more source
On Rees algebras of 2‐determinantal ideals
AbstractLet be the ideal of minors of a matrix of linear forms with the expected codimension. In this paper, we prove that the Rees algebra of and its special fiber ring are Cohen–Macaulay and Koszul; in particular, they are quadratic algebras.
Ritvik Ramkumar, Alessio Sammartano
openaire +3 more sources
The flat cover conjecture for monoid acts
Abstract We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right‐reversible monoid S$S$, provided that the flat S$S$‐acts are closed under stable Rees extensions. The argument shows that the class F$\mathcal {F}$‐Mono (S$S$‐act monomorphisms with flat Rees quotient) is cofibrantly generated in such categories ...
Sean Cox
wiley +1 more source
GL‐algebras in positive characteristic II: The polynomial ring
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley +1 more source
Structure theorems for braided Hopf algebras
Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley +1 more source
Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones
Let G be a simple graph and let Ic(G) be its ideal of vertex covers. We give a graph theoretical description of the irreducible b-vertex covers of G, i.e., we describe the minimal generators of the symbolic Rees algebra of Ic(G).
Dupont, L.D., Villarreal, R.H.
core +2 more sources
Foundations of Ecological and Evolutionary Change
We link the fundamental equations of population ecology and evolution with an equation that sums how individual characteristics interact with individual fitness in a population. From this equation, we derive the fundamental equations of population ecology and evolutionary biology (the Price equation).
A. Bradley Duthie, Victor J. Luque
wiley +1 more source

