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…
D^\dagger-affinity of formal models of flag varieties
Christine Huyghe, Deepam Patel, Tobias Schmidt +1
Let G be the group of L-rational points of a connected split reductive group over a finite extension L of Q_p. We show that formal models of the algebraic flag variety X of G are D…
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…
Locally analytic representations of via semistable models of
Deepam Patel, Tobias Schmidt, Matthias Strauch
In this paper we study certain sheaves of -adically complete rings of differential operators on semistable models of the projective line over the ring of integers in a finite ex…
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…
Integral models of P^1 and analytic distribution algebras for GL_2
Deepam Patel, Tobias Schmidt, Matthias Strauch
In the first part of the paper we show that the ring of global sections of arithmetic differential operators on the formal projective line over Zp is isomorphic to the analytic dis…
Locally analytic representations and sheaves on the Bruhat-Tits building
Deepam Patel, Tobias Schmidt, Matthias Strauch
Let L be a finite field extension of Q_p and let G be the group of L-rational points of a split connected reductive group over L. We view G as a locally L-analytic group with Lie a…