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 geometers are

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 how? …

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 algebraic geometry …

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

In this question, Why study Algebraic Geometry?, Javier Álvarez, develops a succint but encompassing description of algebraic geometry and its spread across different areas of mathematics. Indeed, ...

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 considers the …

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 written as a …

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 Geometry …

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 the kinematics …

Jan 12, 2017 · I have just finished my undergraduate studies and i want to study some algebraic geometry. i have taken 1 year analysis, topology, algebra courses and finished 1 semester complex …