93 citations · 392 across the 21 of their papers we have counts for
12 papers · 1 filter
The platonic elliptic surfaces
Nutsa Gegelia, Duco van Straten
We construct certain special rational elliptic surfaces with four reduced singular fibres that are naturally attached to the platonic solids and belong to a group of surfaces compl…
Calabi--Yau Operators
Duco van Straten
Motivated by mirror symmetry of one-parameter models, an interesting class of Fuchsian differential operators can be singled out, the so-called Calabi--Yau operators, introduced by…
Logarithmic vector fields and the Severi strata in the discriminant
Paul Cadman, David Mond, Duco van Straten
The discriminant, , in the base of a miniversal deformation of an irreducible plane curve singularity, is partitioned according to the genus of the (singular) fibre, or, equival…
Some monodromy groups of finite index in
Jörg Hofmann, Duco van Straten
We determine the index of five of the hypergeometric Calabi-Yau operators that have finite index in and in two cases give a complete description of the monod…
Twisted cubics on cubic fourfolds
Christian Lehn, Manfred Lehn, Christoph Sorger +1
We construct a new twenty-dimensional family of projective eight-dimensional irreducible holomorphic symplectic manifolds: the compactified moduli space M_3(Y) of twisted cubics on…
An abelian surface with (1,6)-polarisation
Michael Semmel, Duco van Straten
We use the method of Adler-van Moerbeke and Vanhaecke to show that the general fibre of the hamiltonian system of Dorizzi, Grammaticos and Ramani completes to a (1, 6)-polarised ab…
Gorenstein-duality for one-dimensional almost complete intersections-with an application to non-isolated real singularities
Duco van Straten, Thorsten Warmt
We give a generalization of the duality of a zero-dimensional complete intersection to the case of one-dimensional almost complete intersections, which results in a {\em Gorenstein…
An Index Theorem for Modules on a Hypersurface Singularity
Ragnar-Olaf Buchweitz, Duco van Straten
A topological interpretation of Hochster's Theta pairing of two modules on a hypersurface ring is given in terms of linking numbers. This generalizes results of M. Hochster and pro…
On the monodromy of the moduli space of Calabi-Yau threefolds coming from eight planes in
Ralf Gerkmann, Mao Sheng, Duco van Straten +1
It is a fundamental problem in geometry to decide which moduli spaces of polarized algebraic varieties are embedded by their period maps as Zariski open subsets of locally Hermitia…
Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds
Pedro Luis del Angel, Stefan Müller-Stach, Duco van Straten +1
We use -Higgs cohomology to determine the Hodge numbers of the parabolic cohomology $H^1(\bar S, j_*\V)$, where the local system $\V$ arises from the third primitive cohomolog…
Tables of Calabi--Yau equations
Gert Almkvist, Christian van Enckevort, Duco van Straten +1
The main part of this paper is a big table containing what we believe to be a complete list of all fourth order equations of Calabi--Yau type known so far. In the text preceding th…
Infinitesimal deformations of double covers of smooth algebraic varieties
Slawomir Cynk, Duco van Straten
The goal of this paper is to give a method to compute the space of infinitesimal deformations of a double cover of a smooth algebraic variety. The space of all infinitesimal deform…