X. Roulleau

activity

20082025

most citedNegative curves on algebraic surfaces

53 citations · 120 across the 41 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.AG2021

Constructions of Kummer structures on generalized Kummer surfaces

Xavier Roulleau, Alessandra Sarti

We study generalized Kummer surfaces Km $_{3} (A)$ , by which we mean the K3 surfaces obtained by desingularization of the quotient of an abelian surface $A$ by an order $3$ symplecti…

math.NT2021★ 1 cited

A refinement of Bézout's Lemma, and order 3 elements in some quaternion algebras over $Q$

Donald I. Cartwright, Xavier Roulleau

Given coprime positive integers $d^{'}, d^{''}$ , Bézout's Lemma tells us that there are integers $u, v$ so that $d^{'} u - d^{''} v = 1$ . We show that, interchanging $d^{'}$ and $d^{''}$ if necessary, we ma…

math.AG2021

Number of Kummer structures and Moduli spaces of generalized Kummer surfaces

Xavier Roulleau

A generalized Kummer surface $X = K m_{3} (A, G_{A})$ is the minimal resolution of the quotient of a $2$ -dimensional complex torus by an order 3 symplectic automorphism group $G_{A}$ . A…

Constructions of Kummer structures on generalized Kummer surfaces

A refinement of Bézout's Lemma, and order 3 elements in some quaternion algebras over Q

Number of Kummer structures and Moduli spaces of generalized Kummer surfaces

A refinement of Bézout's Lemma, and order 3 elements in some quaternion algebras over $Q$