We prove that the property of a free group endomorphism being irreducible is invariant ascending HNN extension it defines. This answers question posed by Dowdall-Kapovich-Leininger. further and atoroidal commensurability invariant. The invariance follows from an algebraic characterization extensions determines exactly when their defining endomorphisms are atoroidal; specifically, we show if onl...

An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between elliptic curves efficiently. For ordinary curves of the same endomorphism ring, the previous best known algorithm has a worst case running time which is exponential in the length of the input. In this paper we show this pr...

Let S be the spectrum of a complete discrete valuation ring with fraction field of characteristic 0 and perfect residue field of characteristic p ≥ 3. Let G be a truncated BarsottiTate group of level 1 over S. If “G is not too supersingular”, a condition that will be explicitly expressed in terms of the valuation of a certain determinant, we prove that we can canonically lift the kernel of the ...

Let A be a supersingular abelian variety deened over a nite eld k. We give an approximate description of the structure of the group A(k) of k-rational points of A in terms of the characteristic polynomial f of the Frobenius endomorphism of A relative to k. Write f = Q gi e i for distinct monic irreducible polynomials gi and positive integers ei, we show that there is a group homomorphism ' : A(...

We consider the high order moments estimator of the frontier of a random pair, introduced by Girard, S., Guillou, A., Stupfler, G. (2013). Frontier estimation with kernel regression on high order moments. In the present paper, we show that this estimator is strongly uniformly consistent on compact sets and its rate of convergence is given when the conditional cumulative distribution function be...

On a compact Kähler manifold X with a holomorphic 2-form α, there is an almost complex structure associated with α. We show how this implies vanishing theorems for the Gromov-Witten invariants ofX . This extends the approach, used in [LP] for Kähler surfaces, to higher dimensions. Let X be a Kähler surface with a non-zero holomorphic 2-form α. Then α is a section of the canonical bundle and its...

Abstract The class of abelian p -groups with minimal full inertia, that is, satisfying the property fully inert subgroups are commensurable invariant is investigated, as well groups not this property; it known both direct sums cyclic and torsion-complete first type. It proved “small" endomorphism ring do satisfy concrete examples them provided via Corner’s realization theorems. Closure properti...

Support vector machines and other kernel methods have successfully been applied to various tasks in attribute-value learning. A kernel function is any function in input space that corresponds to an inner product in some feature space. In this discussion paper, we propose a kernel function on strongly typed first-order terms, and we show how this kernel corresponds to the linear inner product in...

Title of dissertation: PROPERTY-BASED INTEGRITY MONITORING OF OPERATING SYSTEM KERNELS Nick Louis Petroni, Jr. Doctor of Philosophy, 2008 Dissertation directed by: Assistant Professor Michael Hicks Department of Computer Science As the foundation of the trusted computing base, the operating system kernel is a valuable target for attackers of a computer system seeking maximum control and privile...