Rida Ait El Manssour

activity

20202024

most citedMultiplicity structure of the arc space of a fat point

6 citations · 8 across the 4 of their papers we have counts for

collaborators

4 papers

math.AC2024

Wronskians form the inverse system of the arcs of a double point

Rida Ait El Manssour, Gleb Pogudin

The ideal of the arc scheme of a double point or, equivalently, the differential ideal generated by the ideal of a double point is a primary ideal in an infinite-dimensional polyno…

math.AG2022

Lines on $p$ -adic and real cubic surfaces

Rida Ait El Manssour, Yassine El Maazouz, Enis Kaya +1

We study lines on smooth cubic surfaces over the field of $p$ -adic numbers, from a theoretical and computational point of view. Segre showed that the possible counts of such lines…

math.AG2021★ 6 cited

Multiplicity structure of the arc space of a fat point

Rida Ait El Manssour, Gleb Pogudin

The equation $x^{m} = 0$ defines a fat point on a line. The algebra of regular functions on the arc space of this scheme is the quotient of $k [x, x^{'}, x^{(2)}, \dots]$ by all differe…

math.AG2020★ 2 cited

Probabilistic enumerative geometry over $p$ -adic numbers: linear spaces on complete intersections

Rida Ait El Manssour, Antonio Lerario

We compute the expectation of the number of linear spaces on a random complete intersection in $p$ -adic projective space. Here "random" means that the coefficients of the polynomia…

Wronskians form the inverse system of the arcs of a double point

Lines on p-adic and real cubic surfaces

Multiplicity structure of the arc space of a fat point

Probabilistic enumerative geometry over p-adic numbers: linear spaces on complete intersections

Lines on $p$ -adic and real cubic surfaces

Probabilistic enumerative geometry over $p$ -adic numbers: linear spaces on complete intersections