3 citations · 3 across the 7 of their papers we have counts for
9 papers
The fifteenth cohomology group of moduli spaces of stable curves
Amy Bradford, Aitor Iribar López, Andreas Kretschmer +1
The new framework of semi-tautological extensions has allowed for explicit understanding of low-degree odd cohomology groups of moduli spaces of stable curves. Let $S^*_ω(\overline…
On the Brill--Noether Theory of Sheaves on Regular Surfaces
Samir Geiger, Andreas Kretschmer
We study the Brill--Noether theory of higher rank sheaves on surfaces with and its interactions with the classical Brill--Noether theory of line bund…
Ideals of submaximal minors of sparse symmetric matrices
Jiahe Deng, Andreas Kretschmer
We study algebraic and homological properties of the ideal of submaximal minors of a sparse generic symmetric matrix. This ideal is generated by all -minors of a symmetric $…
Thin polytopes: Lattice polytopes with vanishing local -polynomial
Christopher Borger, Andreas Kretschmer, Benjamin Nill
In this paper we study the novel notion of thin polytopes: lattice polytopes whose local -polynomials vanish. The local -polynomial is an important invariant in modern Eh…
The enumerative geometry of cubic hypersurfaces: point and line conditions
Mara Belotti, Alessandro Danelon, Claudia Fevola +1
In order to count the number of smooth cubic hypersurfaces tangent to a prescribed number of lines and passing through a given number of points, we construct a compactification of…
When are symmetric ideals monomial?
Andreas Kretschmer
We study conditions on polynomials such that the ideal generated by their orbits under the symmetric group action becomes a monomial ideal or has a monomial radical. If the polynom…
The geometry of Gaussian double Markovian distributions
Tobias Boege, Thomas Kahle, Andreas Kretschmer +1
Gaussian double Markovian models consist of covariance matrices constrained by a pair of graphs specifying zeros simultaneously in the covariance matrix and its inverse. We study t…
Liftings of polynomial systems decreasing the mixed volume
Christopher Borger, Thomas Kahle, Andreas Kretschmer +2
The BKK theorem states that the mixed volume of the Newton polytopes of a system of polynomial equations upper bounds the number of isolated torus solutions of the system. Homotopy…
The Chow ring of hyperkähler varieties of -type via Lefschetz actions
Andreas Kretschmer
We propose an explicit conjectural lift of the Neron-Severi Lie algebra of a hyperkähler variety of -type to the Chow ring of correspondences ${\rm CH}^\ast(X \times…