An introduction to Riemann surfaces, algebraic curves and moduli spaces

zbMath0683.14007MaRDI QIDQ5905475

Martin Schlichenmaier

Publication date: 17 September 1992

Published in: Lecture Notes in Physics (Search for Journal in Brave)

zbMATH Keywords

algebraic and analytic geometry in relationship with the string theory

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Curves in algebraic geometry (14Hxx)

Related Items (19)

QUANTUM STATES FROM TANGENT VECTORS ⋮ Trigonal curves and algebro-geometric solutions to soliton hierarchies II ⋮ Cubic algebraic equations in gravity theory, parametrization with the Weierstrass function and nonarithmetic theory of algebraic equations ⋮ More remarks on the cohomology of Krichever-Novikov algebras ⋮ Quantum-mechanical dualities from classical phase space ⋮ Krichever-Novikov algebras for more than two points: explicit generators ⋮ Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points ⋮ Krichever-Novikov global operator formalism: NSR superstring in curved background ⋮ QUANTUM-MECHANICAL DUALITIES ON THE TORUS ⋮ Nonperturbative model of Liouville gravity ⋮ Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics ⋮ The Birch and Swinnerton-Dyer conjecture for an elliptic curve over \(\mathbb{Q}(\sqrt[4{5})\)] ⋮ UNIVERSAL CALABI–YAU ALGEBRA: TOWARDS AN UNIFICATION OF COMPLEX GEOMETRY ⋮ \(gl(\infty{})\) and geometric quantization ⋮ REFLEXIVE NUMBERS AND BERGER GRAPHS FROM CALABI–YAU SPACES ⋮ Krichever-Novikov-like bases on punctured Riemann surfaces ⋮ The Sugawara construction and Casimir operators for Krichever-Novikov algebras ⋮ Coherent state embeddings, polar divisors and Cauchy formulas ⋮ From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

This page was built for publication: An introduction to Riemann surfaces, algebraic curves and moduli spaces