5 citations · 11 across the 10 of their papers we have counts for
12 papers
Brylinski-Radon transformation in characteristic
Deepam Patel, K. V. Shuddhodan
In this article, we characterize the image of the Brylinski-Radon transform in characteristic via Beilinson's theory of singular supports. We also provide an alternate proof…
Relative Fontaine-Messing theory over power series rings
Tong Liu, Yong Suk Moon, Deepam Patel
Let be a perfect field of characteristic , be the power series ring over the Witt vectors, and be a smooth proper scheme over . T…
Connectivity of joins, cohomological quantifier elimination, and an algebraic Toda's theorem
Saugata Basu, Deepam Patel
Let be a non-empty closed subscheme over an algebraically closed field , and $\mathrm{J}^{[p]}(X) = \mathrm{J}(X,\mathrm{J}(X,\cdots,\mathrm{J}(X,X)\c…
A Kawamata-Viehweg type formulation of the Logarithmic Akizuki-Nakano Vanishing Theorem
Donu Arapura, Kenji Matsuki, Deepam Patel +1
In this largely expository article, we present a Kawamata-Viehweg type formulation of the (logarithmic) Akizuki-Nakano Vanishing Theorem. While the result is likely known to the ex…
VC density of definable families over valued fields
Saugata Basu, Deepam Patel
We prove a tight bound on the number of realized patterns (or equivalently on the Vapnik-Chervonenkis codensity) of definable families in models of the theory of algebraicall…
Specialization of cycles and the K-theory elevator
Pedro Luis del Angel, Charles Doran, Jaya Iyer +4
A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to stud…