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Tracking the symmetries of -orbifold K3s within the Mathieu groups
Kasia Budzik, Anne Taormina, Mara Ungureanu +2
For -orbifold limits of K3, we provide a counterpart to the extensive studies by Nikulin and others of the geometry and symmetries of classical Kummer surfaces. In par…
Universal polynomials for counts of secant planes to projective curves
Mara Ungureanu
In this article we provide another method for obtaining explicit formulas yielding counts of secant planes to a projective curve. We formulate the problem in terms of Segre classes…
Refined de Jonquières divisors and secant varieties on algebraic curves
Mara Ungureanu
The aim of this paper is to provide another perspective on secant varieties on algebraic curves by reformulating the problem in terms of refined de Jonquières divisors, that is div…
Geometry of intersections of some secant varieties to algebraic curves
Mara Ungureanu
For a smooth projective curve, the cycles of subordinate or, more generally, secant divisors to a given linear series are among some of the most studied objects in classical enumer…
Dimension theory and degenerations of de Jonquières divisors
Mara Ungureanu
This paper aims at settling the issue of the validity of the de Jonquières formulas. We consider the space of divisors with prescribed multiplicity, or de Jonquières divisors, cont…