A word that often pops up on the internet is algebraic geometry. What is this algebraic geometry exactly? Please could you give a less technical answer to describe the what this field does and …

I'm going to start self-stydying algebraic geometry very soon. So, my question is why do mathematicians study algebraic geometry? What are the types of problems in which algebraic …

Reid's Undergraduate Algebraic Geometry, Chapter I of Hartshorne's Algebraic Geometry and Volume I of Shafarevich's Basic Algebraic Geometry all cover material of this kind. Modern …

Oct 26, 2022 · Algebraic geometry is mainly studying algebraic varieties (and their generalizations) per se. So here, algebraic varieties are analogous to Riemannian manifolds …

Jan 28, 2017 · My interest in the applications of algebraic geometry led me to study its basics. I am interested in reading Grothendieck's EGA and SGA, which are believed to be the bible of …

If you're trying to define what it means for a function to be regular on an open subset of an affine variety, you must you definition 2: a function is regular on this open subset iff it can locally be …

Oct 17, 2022 · Or, to connect this with algebraic geometry, try, in this order, Miranda 's "Algebraic Curves and Riemann Surfaces", or the new excellent introduction by Arapura - " Algebraic …

Jun 20, 2018 · Algebraic geometry [Hartshorne] Firstly, we define affine n-space over an algebraically closed field k k, denoted as An A n, to be the set of all n-tuples of elements over k k.

Hartshorne's book is entitled "Algebraic Geometry". Eisenbud says in his introduction that he started writing Commutative Algebra to fill in background for Hartshorne's book, and so he …

Concepts from algebraic geometry (such as prime decomposition of ideals) tell us that this mechanism can have three different kinds of degrees of freedom (called operation modes in …