X-Nico

2 unusual facts about Algebraic variety


Miles Reid

Reid was awarded the Senior Berwick Prize in 2006 for his paper with Alessio Corti and Alexander Puklihkov, “Fano 3-fold hypersurfaces”, which made a big advance in the study of 3-dimensional algebraic varieties.

Open set

Examples of topologies include the Zariski topology in algebraic geometry that reflects the algebraic nature of varieties, and the topology on a differential manifold in differential topology where each point within the space is contained in an open set that is homeomorphic to an open ball in a finite-dimensional Euclidean space.


Grothendieck topology

André Weil's famous Weil conjectures proposed that certain properties of equations with integral coefficients should be understood as geometric properties of the algebraic variety that they define.


see also