Concept
Italian school of algebraic geometry
Related publications (5)
On rationally connected varieties over C1 fields of characteristic 0
We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic 0 is a consequence of the existence of rational points on terminal Fano varieties. We discuss several consequenc ...
MATHEMATICAL SCIENCE PUBL2022Frobenius techniques in birational geometry
This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry. We first explain the basic ideas through simple versions of the fundamenta ...
2017Modular Functions and Special Cycles
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of algebraic cycles in all codimesions ...
Rheinische Friedrich-Wilhelms-Universität Bonn2013Construction of a High Order Fluid-Structure Interaction Solver
Accuracy is critical if we are to trust simulation predictions. In settings such as fluid- structure interaction it is all the more important to obtain reliable results to understand, for example, the impact of pathologies on blood flows in the cardiovascula ...
Elsevier2010Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh
We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials over a sufficiently large finite field, produces a common zero of the polynom ...
2009