Publications (16)
Arithmetic differential operators on a semistable model of
Deepam Patel, Tobias Schmidt, Matthias Strauch
In this paper we study sheaves of logarithmic arithmetic differential operators on a particular semistable model of the projective line. The main result here is that the first coho…
A relative version of the Beilinson-Hodge conjecture
Rob de Jeu, James D. Lewis, Deepam Patel
Let k be an algebraically closed subfield of the complex numbers, and X a variety defined over k. One version of the Beilinson-Hodge conjecture that seems to survive scrutiny is th…
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…
Algebraicity of Hodge classes on some generalized Prym Varieties
Deepam Patel, Yilong Zhang
In this article, we revisit the construction of some algebraic cycles due to Chad Schoen on certain Prym Varieties. More precisely, we show that these cycles arise naturally from (…
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…