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THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS [PDF]
Following the ideas and methods of a recent work of Skinner and Urban, we prove the one divisibility of the Iwasawa main conjecture for nearly ordinary Hilbert modular forms under certain local hypotheses.
XIN WAN
doaj +2 more sources
Three matching intersection property for matching covered graphs [PDF]
In connection with Fulkerson's conjecture on cycle covers, Fan and Raspaud proposed a weaker conjecture: For every bridgeless cubic graph $G$, there are three perfect matchings $M_1$, $M_2$, and $M_3$ such that $M_1\cap M_2 \cap M_3=\emptyset$.
Hao Lin, Xiumei Wang
doaj +1 more source
On the crossing numbers of join products of W_{4}+P_{n} and W_{4}+C_{n} [PDF]
The crossing number \(\mathrm{cr}(G)\) of a graph \(G\) is the minimum number of edge crossings over all drawings of \(G\) in the plane. The main aim of the paper is to give the crossing number of the join product \(W_4+P_n\) and \(W_4+C_n\) for the ...
Michal Staš, Juraj Valiska
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On the “main conjecture” of equivariant Iwasawa theory [PDF]
We prove the “main conjecture” of equivariant Iwasawa theory when μ =
Ritter, Jürgen, Weiss, Alfred
openaire +3 more sources
Homomorphisms of planar signed graphs to signed projective cubes [PDF]
We conjecture that every signed graph of unbalanced girth 2g, whose underlying graph is bipartite and planar, admits a homomorphism to the signed projective cube of dimension 2g1.
Reza Naserasr +2 more
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Stickelberger series and Main Conjecture for function fields [PDF]
to appear in Publicacions Matem ...
andrea bandini, edoardo coscelli
openaire +5 more sources
Free Proalgebraic Groups [PDF]
Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems.
Michael Wibmer
doaj +1 more source
A method of the Riemann–Hilbert problem is applied for Zhang’s conjecture 1 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in the zero external field and the solution to the Zhang’s conjecture 1 is ...
Osamu Suzuki, Zhidong Zhang
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Continuous majorization in quantum phase space [PDF]
We explore the role of majorization theory in quantum phase space. To this purpose, we restrict ourselves to quantum states with positive Wigner functions and show that the continuous version of majorization theory provides an elegant and very natural ...
Zacharie Van Herstraeten +2 more
doaj +1 more source
EULER SYSTEMS FOR HILBERT MODULAR SURFACES
We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI +2 more
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