AbstractWe will talk about several Mahler measure identities involving families of two-variable polynomials defining curves of arbitrary genus, by means of their integral $K_2$. As an application, we can obtain some relations between the Mahler measure of non-tempered polynomials defining elliptic curves of conductor 14, 15, 24, 48, 54 and corresponding L-values. We construct $g$ independent (i...
AbstractWe show that the MW - Bockstein spectral sequence degenerates for genus 0 case over $\mathbb{R}$ or algebraically closed fields and for genus 1 with few marked points over any field. This recovers a result of Etingof, saying that the singular cohomology of real points of genus 0 case has only 2-torsions
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