activity
20072026
most citedMumford representation and Riemann Roch space of a divisor on a hyperelliptic curve

1 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.RA2026

Three-dimensional simple real Bol algebras

Giovanni Falcone, Ágota Figula, Emese Kása +2

In this paper, we provide a complete classification of real three-dimensional simple Bol algebras . The main part of the classification concerns…

math.AG2023★ 1 cited

Mumford representation and Riemann Roch space of a divisor on a hyperelliptic curve

Giovanni Falcone, Giuseppe Filippone

For an (imaginary) hyperelliptic curve of genus , with a Weierstrass point , taken as the point at infinity, we determine a basis of the Riemann-Roch space $\…

math.AG2020

Explicit bases of the Riemann-Roch spaces on divisors on hyperelliptic curves

Giovanni Falcone, Ágota Figula, Carolin Hannusch

For an (imaginary) hyperelliptic curve of genus , we determine a basis of the Riemann-Roch space , where is a divisor with positive degree ,…

math.RA2015

Multiplicative loops of -dimensional topological quasifields

Giovanni Falcone, Ágota Figula, Karl Strambach

We determine the algebraic structure of the multiplicative loops for locally compact -dimensional topological connected quasifields. In particular, our attention turns to multip…

math.GR2015★ 1 cited

The action of a compact Lie group on nilpotent Lie algebras of type {n,2}

Giovanni Falcone, Ágota Figula

We classify finite-dimensional nilpotent Lie algebras with -dimensional central commutator ideals admitting a Lie group of automorphisms isomorphic to . This en…

math.CO2008

Boolean 2-designs and the embedding of a 2-design in a group

Andrea Caggegi, Alfonso Di Bartolo, Giovanni Falcone

We try to embed a t-design in a finite commutative group in such a way that the sum of the k points of a block is zero. We can compute the number of blocks of the boolean 2-design…