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Tag: Conjecture

  • Split semi-elliptic conjecture links elliptic functions and period conjectures

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    What the study found The authors propose a split semi-elliptic conjecture for the split case of an extension of an elliptic curve by the multiplicative group, written as G = Gm × E. They also state that this conjecture is equivalent to the Grothendieck-André generalized period conjecture for a specific 1-motive. Why the authors say…

  • Elliptic and quasi-elliptic functions satisfy Schanuel-type independence

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    What the study found The paper gives examples involving elliptic and quasi-elliptic functions for which algebraic independence is proved. These examples include z, the Weierstrass function wp(z), zeta function zeta(z), sigma function sigma(z), exponential functions, and Serre functions related to integrals of the third kind. Why the authors say this matters The authors state that…

  • Weak gravity bound extended to AdS settings

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    What the study found The authors extend a recent proposal for the Weak Gravity Conjecture (WGC) in anti-de Sitter (AdS) space to more general effective field theories. They report that, when moduli are present, the relevant condition is that a particle produced by Schwinger effect during an extremal black hole decay is repelled close to…

  • Subnormalisers of semisimple elements are determined

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    What the study found The paper determines the subnormalisers of semisimple elements of prime power order in finite quasi-simple groups of Lie type. It also determines the maximal overgroups of normalisers of Sylow tori. Why the authors say this matters The authors say the work is motivated by the recent character correspondence conjecture by Moretó…