From the 1 of 10 linked papers with an AI index.
10 papers
A Hodge Theoretic Generalization of -Homology Manifolds II: Local Complete Intersections
Bradley Dirks, Sebastian Olano, Debaditya Raychaudhury
Recently, the authors introduced and studied a singularity invariant of a complex algebraic variety , written $\HRH(Z)$ (for ``Hodge rational homology'' manifold level). In this…
On the local cohomology of secant varieties
Sebastian Olano, Debaditya Raychaudhury
The paper determines the local cohomological dimension of secant varieties of smooth projective varieties embedded in projective space, studies the generation level of the Hodge fi…
A linear lower bound on the Ulrich complexity of hypersurfaces
Angelo Felice Lopez, Debaditya Raychaudhury, Yuta Takahashi
We give a lower bound on the Ulrich complexity of hypersurfaces in terms of their dimension.
Characterization and finite descent of local cohomological invariants
Bradley Dirks, Sebastian Olano, Debaditya Raychaudhury
We provide simple ``left-inverse characterizations'' of the recently introduced singularity invariants , , and of an equidimensional variety . Combini…
Hodge theory of secant varieties
Qianyu Chen, Bradley Dirks, Sebastian Olano +1
We study the local cohomology modules for the secant variety of lines of a smooth projective variety and for higher secant varieties of smooth projective curves. We show that t…
A lower bound on the Ulrich complexity of hypersurfaces
Angelo Felice Lopez, Debaditya Raychaudhury
We give a lower bound on the Ulrich complexity of hypersurfaces of dimension . The bound improves the result in [BES] for .