- Recent progress on the Tate conjecture
2017/06/16 by Burt Totaro · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Coding theory and cryptography #Analytic Number Theory Research #Conjecture #Mathematics #Algebraic number #Hodge conjecture #Collatz conjecture #Algebraic geometry #Pure mathematics #Algebraic surface #Algebraic cycle #Beal's conjecture #Algebra over a field #Hodge theory #Mathematical analysis
- Moduli spaces of K3 surfaces and complex ball quotients
2005/11/02 by Igor Dolgachev, Igor V. Dolgachev, Dolgachev, Igor V. +3 · 1 citation
Computer Science · Mathematics · #14H15 #14J10 #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic number #Algebraic surface #Ball (mathematics) #FOS: Mathematics #Geometry #Group Theory (math.GR) #Hypergeometric function #Mathematical analysis #Mathematics #Moduli of algebraic curves #Moduli space #Polynomial and algebraic computation #Pure mathematics #Quotient #math.AG #math.GR #msc:14H15 #msc:14J10
- Hodge Theory and Complex Algebraic Geometry II
2003/07/03 by C. Voisin, Leila Schneps, Claire Voisin · 1 citation
Computer Science · Mathematics · #Abelian group #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic cycle #Algebraic geometry #Algebraic geometry and analytic geometry #Algebraic graph theory #Algebraic number #Algebraic surface #Atiyah–Singer index theorem #Cohomology #Differential equation #Differential geometry #Discrete mathematics #Filtration (mathematics) #Geometry #Graph #Hodge conjecture #Hodge dual #Hodge structure #Hodge theory #Homotopy and Cohomology in Algebraic Topology #Infinitesimal #Invariant (physics) #Mathematical analysis #Mathematical proof #Mathematics #Monodromy #Ordinary differential equation #Polynomial and algebraic computation #Pure mathematics #Spectral sequence #Transversality #Triviality
- Birational Geometry of Algebraic Varieties
1998/09/17 by Janós Kollár, Шигефуми Мори · 5 citations
Mathematics · #Algebraic Geometry and Number Theory #Mathematics and Applications #Geometric and Algebraic Topology #Algebraic geometry #Function field of an algebraic variety #Algebraic surface #Real algebraic geometry #Generalization #Realization (probability) #Algebra over a field #Geometry #Algebraic number #Algebraic geometry and analytic geometry #Differential algebraic geometry #Mathematics #Dimension of an algebraic variety #Birational geometry #Computer science #Pure mathematics #Mathematical analysis
- Rational Curves on Algebraic Varieties
1996/01/01 by Janós Kollár, János Kollár · 7 citations
Computer Science · Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic curve #Algebraic geometry #Algebraic number #Algebraic surface #Algebraic variety #Birational geometry #Commutative Algebra and Its Applications #Function field of an algebraic variety #Mathematical analysis #Mathematics #Polynomial and algebraic computation #Pure mathematics
- Principles of Algebraic Geometry
1994/08/02 by Phillip Griffiths, Joseph Harris · 22 citations
Computer Science · Engineering · Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic geometry #Algebraic geometry and analytic geometry #Algebraic number #Algebraic surface #Computer science #Engineering #Function field of an algebraic variety #Intuition #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Mathematics and Applications #Polynomial and algebraic computation #Pure mathematics #Quadric #Real algebraic geometry
- Algebraic Geometry I
1994/01/01 by Igor R. Shafarevich, A N Parshin · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic geometry #Algebraic number #Algebraic surface #Calculus (dental) #Geometry #Mathematical analysis #Mathematics #Mathematics and Applications #Physics #Pure mathematics #Riemann hypothesis #Riemann surface #Volume (thermodynamics) #advanced mathematical theories
- All knots are algebraic
1981/12/01 by S. Akbulut, Selman Akbulut, Henry King +1 · 1 citation
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number #Algebraic surface #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics
- Hilbert modular surfaces and the classification of algebraic surfaces
1974/03/01 by Friedrich Hirzebruch, A. Van de Ven · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Mathematics #Algebraic surface #Modular design #Algebraic number #Modular form #Pure mathematics #Algebra over a field #Dimension of an algebraic variety #Algebraic cycle #Function field of an algebraic variety #Mathematical analysis #Computer science #Programming language
- Higher algebraic K-theory: I
1973/01/01 by Daniel Quillen · 9 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic cycle #Algebraic number #Algebraic structures and combinatorial models #Algebraic surface #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics
- A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3
1971/06/30 by I. I Pjateckiĭ-Šapiro, I. R. Šafarevič · 4 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Mathematics #Type (biology) #Pure mathematics #Algebraic number #Algebraic surface #Algebra over a field #Combinatorics #Mathematical analysis #Geology
- Algebraic Families on an Algebraic Surface
1968/04/01 by John Fogarty · 91 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic cycle #Algebraic extension #Algebraic geometry #Algebraic number #Algebraic surface #Dimension of an algebraic variety #Function field of an algebraic variety #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Pure mathematics #Real algebraic geometry #Singular point of an algebraic variety
- Rational points of algebraic curves over function fields
1966/01/01 by Ju. I. Manin, Ju I Manin · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Algebraic curve #Algebraic function #Algebraic number #Algebraic surface #Family of curves #Field (mathematics) #Function (biology) #Function field #Function field of an algebraic variety #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Pure mathematics #Rational function
- The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface
1962/11/01 by Oscar Zariski · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #Mathematics #Divisor (algebraic geometry) #Algebraic surface #Algebraic number #Pure mathematics #Irreducible component #Algebraic cycle #Ring (chemistry) #Base (topology) #Algebra over a field #Mathematical analysis
- Arithmetic upon an algebraic surface
1945/01/01 by Beniamino Segre · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #History and Theory of Mathematics #Polynomial and algebraic computation #Arithmetic function #Mathematics #Algebraic surface #Algebraic geometry #Algebraic number #Diophantine equation #Diophantine geometry #Surface (topology) #Algebraic curve #Algebraic function #Space (punctuation) #Quartic function #Algebra over a field #Pure mathematics #Arithmetic #Discrete mathematics #Geometry #Mathematical analysis #Computer science