Results 71 to 80 of about 1,700,750 (206)
A birational description of the minimal exponent
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
The Jacobson radical of rings with nilpotent homogeneous elements [PDF]
A result of Bergman says that the Jacobson radical of a graded algebra is homogeneous. It is shown that while graded Jacobson radical algebras have homogeneous elements nilpotent, it is not the case that graded algebras all of whose homogeneous elements ...
Smoktunowicz, Agata
core +1 more source
Idempotents which are products of two nilpotents
Over any GCD (greatest common divisor) commutative domain we show that the nontrivial 2×22\times 2 idempotent matrices are products of two nilpotent matrices. In order to find explicitly such decompositions, two procedures are described.
Călugăreanu Grigore, Pop Horia F.
doaj +1 more source
On the Convergence Rate of the Caputo Fractional Difference Logistic Map of Nilpotent Matrices
The convergence rate of the Caputo fractional difference logistic map of nilpotent matrices is investigated in this paper. The divergence rate of the auxiliary parameters governing the dynamics of nilpotents is exponential and is multiple to the Lyapunov
Rasa Smidtaite +3 more
doaj +1 more source
Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley +1 more source
Instantons on Calabi-Yau and hyper-Kähler cones
The instanton equations on vector bundles over Calabi-Yau and hyper-Kähler cones can be reduced to matrix equations resembling Nahm’s equations. We complement the discussion of Hermitian Yang-Mills (HYM) equations on Calabi-Yau cones, based on regular ...
Jakob C. Geipel, Marcus Sperling
doaj +1 more source
Heights on ‘hybrid orbits’ in Shimura varieties
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N\times N$ matrix, and let $G_{N}$ be a complex Ginibre matrix.
ANIRBAN BASAK +2 more
doaj +1 more source
Cpn$C_{p^n}$‐equivariant Mahowald invariants
Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama +2 more
wiley +1 more source
Subspaces Fixed by a Nilpotent Matrix
The linear spaces that are fixed by a given nilpotent $n \times n$ matrix form a subvariety of the Grassmannian. We classify these varieties for small $n$.
Sturmfels, Bernd +3 more
core

