The Net Advance of Physics:
ALGEBRAIC GEOMETRY:

ALGEBRAIC GEOMETRY:

• General: Landsberg 98/09;
  • Toric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists) by Cyril Closset [2008 Summer]
  • Introduction à la théorie des schémas by Antoine Ducros [2014/01]
  • Lectures notes in universal algebraic geometry by Artem Shevlyakov [2016/01]

• Type: NON-COMMUTATIVE:
  • Introduction to Noncommutative Algebraic Geometry by Manizheh Nafari [2015/02]

• Type: REAL:
  • Real Algebraic Geometry and its Applications by Tim Netzer [2016/06]

• Type: TROPICAL:
  • Tropical [Algebraic] Geometry by Ralph Morrison [2019/08]

• Aspects: LIAISON THEORY; MODULI SPACES; MULTIPLIER IDEALS; P-ADIC ANALYSIS; VARIETIES;

• Aspects: CANONICAL BUNDLE FORMULA:
  • A Travel Guide to the Canonical Bundle Formula by Enrica Floris and Vladimir Lazić [2019/07]

• Aspects: DRINFELD MODULES:
  • A Rapid Introduction to Drinfeld Modules, t-Modules, and t-Motives by W. Dale Brownawell and Matthew A. Papanikolas [2018/06]

• Aspects: F1:
  • F1 for everyone by Oliver Lorscheid [2018/01]

• Aspects: HIGGS BUNDLES:
  • A Brief Survey of Higgs Bundles by Ronald Alberto Zúñiga-Rojas [2018/03]
  • An Introduction to Higgs Bundles via Harmonic Maps by Qiongling Li [2018/09]
  • Advanced Topics in Gauge Theory: Mathematics and Physics of Higgs Bundles by Laura P. Schaposnik [2019/07]

• Aspects: INTEGRAL REDUCTION:
  • Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry by Yang Zhang [2016/12]

• Aspects: KUMMER SURFACES:
  • Kummer Surfaces: 200 Years of Study by Igor Dolgachev [2019/10]

• Aspects: L-ADIC ANALYSIS:
  • Introductory Course on l-adic Sheaves and their Ramification Theory on Curves by Lars Kindler and Kay Rülling [2014/09]

• Aspects: MOTIVIC HOMOTOPIES:
  • A primer for unstable motivic homotopy theory by Benjamin Antieau and Elden Elmanto [2016/05]

• Aspects: POLYNOMIALS:
  • Lectures on Geometry and Topology of Polynomials - Surrounding the Jacobian Conjecture by Masayoshi Miyanishi [2015/04] 134 pp.
  • Lectures on nonnegative polynomials and sums of squares by G. Blekherman and J. Wesner [2021/05]

• Aspects: RESOLUTION OF SINGULARITIES: BOGOMOLOV-PANTEV METHOD: Paranjape 98/06;

• Aspect: RULED-SURFACE THEORY:
  • Ruled surface theory and incidence geometry by Larry Guth [2016/06]

• Aspects: SCHEMES:
  • Introduction à la théorie des schémas by Antoine Ducros [2014/01]

• Re: BAYESIAN STATISTICS:
  • Recent advances in algebraic geometry and Bayesian statistics by S. Watanabe [2022/11]

• Re: BETHE ANSATZ: Roan 2000/11;
• Re: CHIRAL POTTS MODEL: Roan 2000/11;

• Re: COMPUTER ALGEBRA: Greuel 2000/02;
  • Algorithms in Real Algebraic Geometry: A Survey by Saugata Basu [2011/06]

• Re: CONFORMAL FIELD THEORY: Roan 2000/11;

• Re: INCIDENCE GEOMETRY:
  • Ruled surface theory and incidence geometry by Larry Guth [2016/06]

• Re: LATTICE MODELS: Roan 2000/11;

• Re: LOGIC:
  • Model Theory, Arithmetic and Algebraic Geometry by Joel Torres del Valle [2019/05]

• Re: RIEMANNIAN MANIFOLDS: WITH SPECIAL HOLONOMY: Beauville 99/02;

• Re: XXZ: Roan 2000/11;

THE NET ADVANCE OF PHYSICS