Results 71 to 80 of about 665 (180)
On Viazovska's modular form inequalities. [PDF]
Romik D.
europepmc +1 more source
ABELIAN GROUPS WITH THE DIRECT SUMMAND SUM PROPERTY
All groups in this paper are Abelian, i.e. unitary \(\mathbb{Z}\)-modules. An \(R\)-module \(M\) is said to have the (direct) summand sum property (SSP for short) if the sum of any two direct summands of \(M\) is a direct summand. This notion was introduced by \textit{J. L.
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p$p$‐adic equidistribution and an application to S$S$‐units
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
A note on free direct summands.
Beck, István, Trosborg, Peter J.
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On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Osculating geometry and higher‐order distance Loci
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
Isomorphic direct summands of abelian groups
Pierce, R.S., BEAUMONT, R.A.
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Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
Coarse-Graining Waters: Unveiling The Effective Hydrophilicity/Hydrophobicity of Individual Protein Atoms and The Roles of Waters' Hydrogens. [PDF]
Na H, Song G.
europepmc +1 more source
Direct Decompositions Into Infinitely Many Summands [PDF]
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