25 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…
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…
Hyperbolicity of adjoint linear series on varieties with positive tangent bundle
Atsushi Ito, Joaquín Moraga, Debaditya Raychaudhury +1
Let be a smooth projective variety of dimension , and let be an ample line bundle on . In this article, we study the algebraic hyperbolicity of a very general s…
Extendable codimension two subvarieties in a general hypersurface
G. V. Ravindra, Debaditya Raychaudhury
We exhibit a class of extendable codimension subvarieties in a general hypersurface of dimension at least in projective space. As a consequence, we prove that a general hyp…