The study of curve arrangements in the framework of algebraic geometry examines configurations of algebraic curves—ranging from lines to higher degree entities—in projective spaces, where intricate ...

Algebraic geometry codes are a class of error-correcting codes constructed from algebraic curves over finite fields. They utilise divisors and Riemann–Roch spaces to achieve parameters that often ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

The Number Theory and Algebraic Geometry (NTAG) seminar is a semi-regularly meeting research seminar at SFU dedicated to topics related to number theory and algebraic geometry. It is co-organized by ...

Visit NAP.edu/10766 to get more information about this book, to buy it in print, or to download it as a free PDF. §14.2 Algebraic Topology. Topology is generally introduced as I described it in §AG.6, ...

Researchers at Virginia Tech have applied algebraic geometry to improve energy efficiency in data centres. By using advanced polynomials and error-correcting codes, they have developed a new method ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Mathematics and physics share a close, reciprocal relationship. Mathematics offers the language and tools to describe physical phenomena, while physics drives the development of new mathematical ideas ...