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

You can also think about the set of solutions common to a group of equations. This set is known as an “algebraic variety.” An infinite number of algebraic varieties exist; each has a unique geometric ...

These are so-called algebraic varieties, which are the zero-sets of polynomials, and certain geometric objects called manifolds." Manifolds are smooth topological spaces that can be considered in ...

These are so-called algebraic varieties, which are the zero-sets of polynomials, and certain geometric objects called manifolds." Manifolds are smooth topological spaces that can be considered in ...

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 ...

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 ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

The Weil conjectures concern the points on algebraic varieties that have integer coordinates (in the case of the circle, x and y must be whole numbers). The number of such solutions — typically ...