5 papers
An Introduction to p-adic Hodge Theory
Olivia Dumitrescu, Kexuan Yang
This survey gives an introductory review of the classical Hodge theory, arithmetic geometry and algebraic number theory that inspires p-adic Hodge theory. Basic results in this new…
Almost TQFTs via colored ribbon graphs
William Davis, Olivia Dumitrescu
In this paper, we introduce ribbon TQFTs via Edge Contraction/Construction Axioms of colored ribbon graphs as an extension of the 2D TQFT axioms for ribbon graphs formulated in arX…
On Nearly Frobenius Structures
William Davis, Olivia Dumitrescu
Nearly Frobenius structures and 2-dimensional Almost TQFTs were introduced and shown to be in categorical equivalence in arXiv:1907.05470 in the attempt to extend the Atiyah-Segal'…
Birational geometry of blowups via Weyl chamber decompositions and actions on curves
Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel +1
We study the birational geometry of , the blow-up of at points in general position. We identify a set of subvarieties, which we call Weyl -p…
Duality and polyhedrality of cones for Mori dream spaces
Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel +1
Our goal is twofold. On one hand we show that the cones of divisors ample in codimension on a Mori dream space are rational polyhedral. On the other hand we study the duality b…