activity
20132022
most citedOn the Chow ring of birational irreducible symplectic varieties

45 citations · 51 across the 6 of their papers we have counts for

collaborators

6 papers

math.AG2022

Wall divisors on irreducible symplectic orbifolds of Nikulin-type

Grégoire Menet, Ulrike Riess

We determine the wall divisors on irreducible symplectic orbifolds which are deformation equivalent to a special type of examples, called Nikulin orbifolds. The Nikulin orbifolds a…

math.AG2020★ 1 cited

On the Kähler cone of irreducible symplectic orbifolds

Grégoire Menet, Ulrike Rieß

We generalize the Hodge version of the global Torelli theorem in the framework of irreducible symplectic orbifolds. We also propose a generalization of several results related to t…

math.AG2019★ 1 cited

On the non-divisorial base locus of big and nef line bundles of K3^{[2]}-type varieties

Ulrike Riess

We approach non-divisorial base loci of big and nef line bundles on irreducible symplectic varieties. While for K3 surfaces, only divisorial base loci can occur, nothing was known…

math.AG2018

Base divisors of big and nef line bundles on irreducible symplectic varieties

Ulrike Riess

Under some conditions on the deformation type, which we expect to be satisfied for arbitrary irreducible symplectic varieties, we describe which big and nef line bundles on irreduc…

math.AG2014★ 4 cited

On the Beauville conjecture

Ulrike Riess

We investigate Beauville's conjecture on the Chow ring of irreducible symplectic varieties. For special irreducible symplectic varieties we relate it to a conjecture on the existen…

math.AG2013★ 45 cited

On the Chow ring of birational irreducible symplectic varieties

Ulrike Riess

We show that the graded Chow rings of two birational irreducible symplectic varieties are isomorphic. This lifts a result known for the cohomology algebras to the level of Chow rin…