Results 21 to 30 of about 7,590,271 (296)

On the Non Commutative Iwasawa Main Conjecture for Abelian Varieties over Function Fields [PDF]

open access: yesDocumenta Mathematica, 2017
We establish the Iwasawa main conjecture for semi-stable abelian varieties over a function field of characteristic $p$ under certain restrictive assumptions.
David Vauclair, Fabien Trihan
semanticscholar   +1 more source

On the main conjecture of Iwasawa theory for certain non‐cyclotomic Zp ‐extensions [PDF]

open access: yesJournal of the London Mathematical Society, 2017
Let K=Q(−q) , where q is any prime number congruent to 7 modulo 8, with ring of integers O and Hilbert class field H . Suppose p∤[H:K] is a prime number which splits in K , say pO=pp∗ .
Yukako Kezuka
semanticscholar   +1 more source

On Comon’s and Strassen’s Conjectures

open access: yesMathematics, 2018
Comon’s conjecture on the equality of the rank and the symmetric rank of a symmetric tensor, and Strassen’s conjecture on the additivity of the rank of tensors are two of the most challenging and guiding problems in the area of tensor ...
Alex Casarotti   +2 more
doaj   +1 more source

The Iwasawa Main Conjectures for GL2 [PDF]

open access: yesInventiones mathematicae, 2013
We prove the one-, two-, and three-variable Iwasawa-Greenberg Main Conjectures for a large class of modular forms that are ordinary with respect to an odd prime p. The method of proof involves an analysis of an Eisenstein ideal for ordinary Hida families for GU(2,2).
Christopher Skinner, Eric Urban
openaire   +1 more source

On generalized main conjectures and 𝑝-adic Stark conjectures for Artin motives [PDF]

open access: yesTransactions of the American Mathematical Society, 2021
Given an odd prime number p p and a
openaire   +3 more sources

Real rectifiable currents, holomorphic chains and algebraic cycles

open access: yesComplex Manifolds, 2021
We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains.
Teh Jyh-Haur, Yang Chin-Jui
doaj   +1 more source

Vojta’s Main Conjecture for blowup surfaces [PDF]

open access: yesProceedings of the American Mathematical Society, 2002
The author proves a very special case of Vojta's Main Conjecture and deduces some consequences. Let \(X\) be a smooth algebraic variety defined over a number field \(k\), with canonical divisor \(K\). Let \(D\) be a normal crossings divisor of \(X\). Let \(L\) be a big divisor of \(X\) (i.e. there is a positive integer \(n\) such that \(nL\) is the sum
openaire   +1 more source

Discrete gauging in Coulomb branches of three dimensional N=4 $$ \mathcal{N}=4 $$ supersymmetric gauge theories

open access: yesJournal of High Energy Physics, 2018
This paper tests a conjecture on discrete non-Abelian gauging of 3d N=4 $$ \mathcal{N}=4 $$ supersymmetric quiver gauge theories. Given a parent quiver with a bouquet of n nodes of rank 1, invariant under a discrete S n global symmetry, one can construct
Amihay Hanany, Anton Zajac
doaj   +1 more source

The Pauli–Jung Conjecture and Its Relatives: A Formally Augmented Outline

open access: yesOpen Philosophy, 2020
The dual-aspect monist conjecture launched by Pauli and Jung in the mid-20th century will be couched in somewhat formal terms to characterize it more concisely than by verbal description alone.
Atmanspacher Harald
doaj   +1 more source

The Decomposition of a Finitely Generated Module over Some Special Ring

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2022
This research aims to give the decompositions of a finitely generated module over some special ring, such as the principal ideal domain and Dedekind domain. One of the main problems with module theory is to analyze the objects of the module.
I Gede Adhitya Wisnu Wardhana
doaj   +1 more source

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