3 citations · 8 across the 15 of their papers we have counts for
18 papers
Extremal divisors on moduli spaces of K3 surfaces
Ignacio Barros, Laure Flapan, Riccardo Zuffetti
We establish criteria for when Noether--Lefschetz divisors generate an extremal ray in the cone of pseudoeffective divisors of an orthogonal modular variety. In particular, we exhi…
Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
Laure Flapan, Sarah Frei, Lisa Marquand
We study the equivariant Kuznetsov component of a general cubic fourfold with a symplectic involution. We show that is equivalent to the d…
Cones of Noether-Lefschetz divisors and moduli spaces of hyperkähler manifolds
Ignacio Barros, Pietro Beri, Laure Flapan +1
We give a general formula for generators of the NL-cone, the cone of effective linear combinations of irreducible components of Noether-Lefschetz divisors, on an orthogonal modular…
The geometry of antisymplectic involutions, II
Laure Flapan, Emanuele Macrì, Kieran G. O'Grady +1
We continue our study of fixed loci of antisymplectic involutions on projective hyper-Kähler manifolds of -type induced by an ample class of square 2 in the Beau…
Kodaira dimension of moduli spaces of hyperkähler varieties
Ignacio Barros, Pietro Beri, Emma Brakkee +1
We study the Kodaira dimension of moduli spaces of polarized hyperkähler varieties deformation equivalent to the Hilbert scheme of points on a K3 surface or to O'Grady's ten dimens…
The geometry of antisymplectic involutions, I
Laure Flapan, Emanuele Macrì, Kieran G. O'Grady +1
We study fixed loci of antisymplectic involutions on projective hyperkähler manifolds of -type. When the involution is induced by an ample class of square 2 in t…
On product identities and the Chow rings of holomorphic symplectic varieties
Ignacio Barros, Laure Flapan, Alina Marian +1
For a moduli space of stable sheaves over a surface , we propose a series of conjectural identities in the Chow rings gener…
Period integrals and Hodge modules
Laure Flapan, Robin Walters, Xiaolei Zhao
We define a map attached to any polarized Hodge module such that the restriction of to a locus on which is a variation of Hodge structures i…
Complete families of indecomposable non-simple abelian varieties
Laure Flapan
Given a fixed product of non-isogenous abelian varieties at least one of which is general, we show how to construct complete families of indecomposable abelian varieties whose very…
Geometry of Schreieder's varieties and some elliptic and K3 moduli curves
Laure Flapan
We study the geometry of a class of -dimensional smooth projective varieties constructed by Schreieder for their noteworthy Hodge-theoretic properties. In particular, we realize…
Monodromy of Kodaira Fibrations of Genus
Laure Flapan
A Kodaira fibration is a non-isotrivial fibration from a smooth algebraic surface to a smooth algebraic curve such that all fibers are smooth algeb…
Unavoidable Sets of Partial Words of Uniform Length
Joey Becker, F. Blanchet-Sadri, Laure Flapan +1
A set X of partial words over a finite alphabet A is called unavoidable if every two-sided infinite word over A has a factor compatible with an element of X. Unlike the case of a s…
Chow motives associated to certain algebraic Hecke characters
Laure Flapan, Jaclyn Lang
Shimura and Taniyama proved that if is a potentially CM abelian variety over a number field with CM by a field linearly disjoint from F, then there is an algebraic Heck…
Some explicit elliptic modular surfaces
Laure Flapan
We consider algebraic surfaces, recently constructed by Schreieder, that are smooth models of the quotient of the self-product of a complex hyperelliptic curve by a $(\mathbb{Z}/3^…
Hodge Groups of Hodge Structures with Hodge Numbers
Laure Flapan
This paper studies the possible Hodge groups of simple polarizable -Hodge structures with Hodge numbers . In particular, it generalizes earlier work o…
Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences
Ilya Amburg, Krishna Dasaratha, Laure Flapan +6
The Stern diatomic sequence is closely linked to continued fractions via the Gauss map on the unit interval, which in turn can be understood via systematic subdivisions of the unit…
Cubic Irrationals and Periodicity via a Family of Multi-dimensional Continued Fraction Algorithms
Krishna Dasaratha, Laure Flapan, Thomas Garrity +5
We construct a countable family of multi-dimensional continued fraction algorithms, built out of five specific multidimensional continued fractions, and find a wide class of cubic…
A Generalized Family of Multidimensional Continued Fractions: TRIP Maps
Krishna Dasaratha, Laure Flapan, Thomas Garrity +5
Most well-known multidimensional continued fractions, including the Mönkemeyer map and the triangle map, are generated by repeatedly subdividing triangles. This paper constructs a…