9 citations · 11 across the 5 of their papers we have counts for
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Green's conjecture for binary curves
Marco Franciosi, Elisa Tenni
We show that Generic Green's conjecture holds for generic binary curves, through a detailed analysis of the family of scrolls containing fixed rational normal curves.
The canonical ring of a 3-connected curve
Marco Franciosi, Elisa Tenni
Let C be a projective curve either reduced with planar singularities or contained in a smooth algebraic surface. We show that the canonical ring R(C, ω_C)= \oplus_{k \geq 0} H^0(C,…
On Clifford's theorem for singular curves
Marco Franciosi, Elisa Tenni
Let C be a 2-connected Gorenstein curve either reduced or contained in a smooth algebraic surface and let S be a subcanonical cluster (i.e. a 0-dim scheme such that the space H^0(C…
Slope equalities for genus 5 surface fibrations
Elisa Tenni
K. Konno proved a slope equality for fibred surfaces with fibres of odd genus and general fibre of maximal gonality. More precisely he found a relation between the invariants of th…
A simple limit for slope instability
J. Stoppa, E. Tenni
Ross and Thomas have shown that subschemes can K-destabilise polarised varieties, yielding a notion known as slope (in)stability for varieties. Here we describe a special situation…
Fibred surfaces with general pencils of genus 5
Elisa Tenni
Let $f:S \fr B$ be a surface fibration with fibres of genus 5. We find a linear relation between the fundamental invariants of the surface. Namely where is the nu…