Results 71 to 80 of about 846,626 (359)
On a conjecture of Harris [PDF]
Communications in Contemporary Mathematics, 2020 For [Formula: see text], the Noether–Lefschetz locus [Formula: see text] parametrizes smooth, degree [Formula: see text] surfaces in [Formula: see text] with Picard number at least 2. A conjecture of Harris states that there are only finitely many irreducible components of the Noether–Lefschetz locus of non-maximal codimension.
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Syzygies of Prym and paracanonical curves of genus 8 [PDF]
Épijournal de Géométrie Algébrique, 2017 By analogy with Green's Conjecture on syzygies of canonical curves, the Prym-Green conjecture predicts that the resolution of a general level p paracanonical curve of genus g is natural.
Elisabetta Colombo +3 more
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The Weak Gravity Conjecture in three dimensions [PDF]
, 2016 A bstractWe study weakly coupled U(1) theories in AdS3, their associated charged BTZ solutions, and their charged spectra. We find that modular invariance of the holographic dual two-dimensional CFT and compactness of the gauge group together imply the ...
M. Montero, G. Shiu, Pablo Soler
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, 2006 It is shown that the Ramadanov conjecture implies the Cheng conjecture.
C.R. Graham +16 more
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Higgs inflation and scalar weak gravity conjecture
European Physical Journal C: Particles and Fields, 2022 In this article, we intend to find a specific model which can satisfy the further refining dS swampland conjecture and scalar weak gravity conjecture (SWGC) simultaneously, in particular, Higgs inflation model and its two extensions: Higgs-dilaton model ...
Yang Liu
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Four conjectures in Nonlinear Analysis
, 2017 In this chapter, I formulate four challenging conjectures in Nonlinear Analysis. More precisely: a conjecture on the Monge-Amp\`ere equation; a conjecture on an eigenvalue problem; a conjecture on a non-local problem; a conjecture on disconnectedness ...
A. Bahri +25 more
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Greenberg's conjecture and Leopoldt's conjecture
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2000 Let \(p\) be an odd prime number and \(G\) the non-abelian group of order \(p^3\) and exponent \(p\). The author shows there exists Galois extensions \(L\) of \({\mathbb Q}\) with group \(G\) and vanishing Iwasawa invariants \(\lambda,\mu\) and \(\nu\) for the cyclotomic \({\mathbb Z}_p\)-extension of \(L\).
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Splitting homomorphisms and the Geometrization Conjecture
, 1999 This paper gives an algebraic conjecture which is shown to be equivalent to Thurston's Geometrization Conjecture for closed, orientable 3-manifolds. It generalizes the Stallings-Jaco theorem which established a similar result for the Poincare Conjecture.
Myers, Robert
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Theoretical Computer Science, 2011 AbstractThe “runs” conjecture, proposed by Kolpakov and Kucherov (1999) [7], states that the number of occurrences of maximal repetitions (runs) in a string of length n, runs(n), is at most n. We almost solve the conjecture by proving that runs(n)⩽1.029n. This bound is obtained using a combination of theory and computer verification.
Crochemore, Maxime +2 more
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