Results 61 to 70 of about 849,021 (309)

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, Gavril Farkas, Alessandro Verra, Claire Voisin   +3 more
doaj   +1 more source

Quantum focusing conjecture [PDF]

, 2015
We propose a universal inequality that unies the Bousso bound with the classical focussing theorem. Given a surface that need not lie on a horizon, we dene a nite generalized entropy Sgen as the area of in Planck units, plus the von Neumann entropy of ...
R. Bousso, Zachary Kenneth Fisher, Stefan Leichenauer, Andreas Wall   +3 more
semanticscholar   +1 more source

Disproving the normal graph conjecture [PDF]

J. Comb. Theory B, 2015
A graph $G$ is called normal if there exist two coverings, $\mathbb{C}$ and $\mathbb{S}$ of its vertex set such that every member of $\mathbb{C}$ induces a clique in $G$, every member of $\mathbb{S}$ induces an independent set in $G$ and $C \cap S \neq ...
Ararat Harutyunyan, Lucas Pastor, Stéphan Thomassé   +2 more
semanticscholar   +1 more source

Harder's conjecture I

Journal of the Mathematical Society of Japan, 2023
Let $f$ be a primitive form of weight $2k+j-2$ for $SL_2(Z)$, and let $\mathfrak p$ be a prime ideal of the Hecke field of $f$. We denote by $SP_m(Z)$ the Siegel modular group of degree $m$. Suppose that $k \equiv 0 \mod 2, \ j \equiv 0 \mod 4$ and that $\mathfrak p$ divides the algebraic part of $L(k+j,f)$.
Atobe, Hiraku, Chida, Masataka, Ibukiyama, Tomoyoshi, Katsurada, Hidenori, Yamauchi, Takuya   +4 more
openaire   +4 more sources

Steinberg's Conjecture is false [PDF]

J. Comb. Theory B, 2016
Steinberg conjectured in 1976 that every planar graph with no cycles of length four or five is 3-colorable. We disprove this conjecture.
Vincent Cohen-Addad, Michael Hebdige, D. Král, Zhentao Li, Esteban Salgado   +4 more
semanticscholar   +1 more source

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
doaj   +1 more source

A variational approach to the Yau–Tian–Donaldson conjecture [PDF]

Journal of The American Mathematical Society, 2015
We give a variational proof of a version of the Yau–Tian–Donaldson conjecture for twisted Kähler–Einstein currents, and use this to express the greatest (twisted) Ricci lower bound in terms of a purely algebro-geometric stability threshold.
R. Berman, S. Boucksom, Mattias Jonsson
semanticscholar   +1 more source

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, AJB Lopes-Pinto, B Ricceri, B Ricceri, B Ricceri, B Ricceri, B Ricceri, B Ricceri, D Passaseo, D Passaseo, E Zeidler, E Zeidler, E. N. Dancer, HH Schaefer, J Saint Raymond, JL Kazdan, JL Kelley, Lars Diening, N Hirano, NI Katzourakis, P Pucci, SI Pohozaev, XL Fan, XL Fan, XL Fan, Zdzisław Denkowski   +25 more
core   +1 more source

The Ingram conjecture [PDF]

Geometry & Topology, 2012
Oberwolfach Preprints;2010 ...
Barge, Marcy, Bruin, Henk, Štimac, Sonja   +2 more
openaire   +4 more sources

Fine Selmer Groups and Isogeny Invariance

, 2017
We investigate fine Selmer groups for elliptic curves and for Galois representations over a number field. More specifically, we discuss Conjecture A, which states that the fine Selmer group of an elliptic curve over the cyclotomic extension is a finitely
A Chandrakant, C Wuthrich, J Coates, J. Neukirch, Algebraic number theory, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 322, Springer-Verlag, Berlin, JL Parish, Joseph H. Silverman, JS Milne, M Witte, M Witte, P Billot, P Schneider, R. Sujatha, S Jha, Somnath Jha   +13 more
core   +1 more source