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13 papers · 1 filter
Projective Curves with maximal regularity and applications to syzygies and surfaces
Markus Brodmann, Peter Schenzel
We first show that the union of a projective curve with one of its extremal secant lines satisfies the linear general position principle for hyperplane sections. We use this to giv…
Quantum Giambelli formulas for isotropic Grassmannians
Anders S. Buch, Andrew Kresch, Harry Tamvakis
Let X be a symplectic or odd orthogonal Grassmannian which parametrizes isotropic subspaces in a vector space equipped with a nondegenerate (skew) symmetric form. We prove quantum…
On varieties of almost minimal degree I: Secant loci of rational normal scrolls
M. Brodmann, E. Park
To complete the classification theory and the structure theory of varieties of almost minimal degree, that is of non-degenerate irreducible projective varieties whose degree exceed…
The cohomological crepant resolution conjecture for P(1,3,4,4)
Samuel Boissiere, Etienne Mann, Fabio Perroni
We prove the cohomological crepant resolution conjecture of Ruan for the weighted projective space P(1,3,4,4). To compute the quantum corrected cohomology ring we combine the resul…
Quivers, Geometric Invariant Theory, and Moduli of Linear Dynamical Systems
Markus Bader
We use geometric invariant theory and the language of quivers to study compactifications of moduli spaces of linear dynamical systems. A general approach to this problem is present…
A model for the orbifold Chow ring of weighted projective spaces
Samuel Boissiere, Etienne Mann, Fabio Perroni
We construct an isomorphism of graded Frobenius algebras between the orbifold Chow ring of weighted projective spaces and graded algebras of groups of roots of the unity.