4 papers
Algebraic hyperbolicity of subvarieties of homogeneous varieties
Andy B. Day, Neelarnab Raha
We study the algebraic hyperbolicity of certain subvarieties of homogeneous varieties, building on the techniques introduced by Coskun-Riedl, Yeong and Mioranci. This generalizes e…
Higher rank Clifford's theorem on the smooth quadric
Neelarnab Raha
Brill-Noether theory of curves has played a crucial role in the study of curves and their moduli since the 19th century, and has been extensively studied by several authors. Cliffo…
Nef cones of Hilbert schemes of points on some K3 surfaces
Uttaran Dutta, Sean Edwards, Neelarnab Raha
We illustrate the typical usage of Bayer and Macrì's Positivity Lemma to compute the nef cones of the Hilbert schemes by combining the Bridgeland stability methods (for l…
Brill-Noether theory on the projective plane for bundles with many sections
Izzet Coskun, Jack Huizenga, Neelarnab Raha
The Brill-Noether theory of curves plays a fundamental role in the theory of curves and their moduli and has been intensively studied since the 19th century. In contrast, Brill-Noe…