Algebraic varieties and their automorphism groups lie at the heart of modern algebraic geometry, intertwining deep theoretical concepts with practical applications. Algebraic varieties ...

Algebraic geometry, a venerable branch of mathematics, focuses on the study of algebraic varieties—geometric manifestations of polynomial equations—while cohomology provides a suite of ...

Character varieties and moduli spaces play a central role in algebraic geometry by providing a bridge between the geometry of algebraic varieties and the representation theory of groups.

In particular, the extension of the Minimal Model Program to threefolds, even in mixed characteristic scenarios, has opened avenues for exploring algebraic varieties under conditions where the ...

Algebraic groups, defined as groups that also possess the structure of an algebraic variety, serve as a fundamental tool for understanding symmetries in diverse mathematical systems. Algebraic K ...

The study of algebraic groups entails analysing groups that are simultaneously varieties, where the group operations are governed by regular maps. This dual structure has far‐reaching ...

It’s almost better to not even consider Paul Schrader’s magnum opus, Mishima: A Life in Four Chapters, a biopic at all. While ...

Despite the low rating given to Nebraska, state education officials believe the state is on the right track to not only ...