Feliks Rkaczka

activity

20242026

collaborators

5 papers

math.AG2026

$D$ -affinity of Quadrics Revisited

Feliks Rączka

Let $K$ be aa algebraically closed field of characteristic $p \geq 3$ and let $Q_{n} \subset P_{K}^{n + 1}$ be a smooth quadric hypersurface. We show that if $n = 2 m \geq 4$ then $Q…

math.AG2025

Rank one summands of Frobenius pushforwards of line bundles on G/P

Feliks Rączka

Let $X = G / P$ be a partial flag variety, where $G$ is a semi-simple, simply connected algebraic group defined over an algebraically closed field $K$ of positive characteristic. Let $…

math.AG2025

Continuity of differential operators for nonarchimedean Banach algebras

Feliks Rączka

Given a nonarchimedean field $K$ and a commutative, noetherian, Banach $K$ -algebra $A$ , we study continuity of $K$ -linear differential operators (in the sense of Grothendieck) betw…

math.AG2024

Holonomic $D$ -modules on rigid analytic varieties

Feliks Rączka

We study the category of holonomic $D_{X}$ -modules for a quasi-compact, quasi-separated, smooth rigid analytic variety $X$ over the field $C ((t))$ . In partic…

math.AG2024

Frobenius pushforwards of of vector bundles on projective spaces

Feliks Rączka

We investigate when the filtration induced by Beilinson's spectral sequence splits non-canonically into a direct sum decomposition. We conclude that for any vector bundle $\mathcal…

D-affinity of Quadrics Revisited

Rank one summands of Frobenius pushforwards of line bundles on G/P

Continuity of differential operators for nonarchimedean Banach algebras

Holonomic D-modules on rigid analytic varieties

Frobenius pushforwards of of vector bundles on projective spaces

$D$ -affinity of Quadrics Revisited

Holonomic $D$ -modules on rigid analytic varieties