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2008, STU - Student edition, Princeton series in applied mathematics, ISBN 9780691096797, xx, 696
This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years... 
Mathematics | Curves, Algebraic | Finite fields (Algebra)
Book
2001, Student mathematical library, ISBN 9780821821220, Volume 15, xv, 231
Book
2012, ISBN 9780691151199, cm.
.... The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep--and often very mystifying--mathematical ideas... 
Mathematics | Elliptic functions | History & Philosophy | Abstract | PDZ | PBX | Calculus | PBKA | Geometry | Algebra | PBF | Algebraic | PBH | PBMW | Number Theory | Curves, Elliptic | Number theory
Book
2015, Contemporary mathematics: Centre de Recherches Mathématiques Proceedings, ISBN 1470414589, Volume 654., vii, 165
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held... 
Rational points (Geometry) | Arithmetical algebraic geometry | Geometry, Algebraic
Book
Communications in Mathematical Physics, ISSN 0010-3616, 8/2015, Volume 338, Issue 1, pp. 483 - 500
One says that a pair (P, Q) of ordinary differential operators specify a quantum curve if $${[P,Q]=\hbar}$$ [ P , Q ] = ħ... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | PHYSICS, MATHEMATICAL | Sects
Journal Article
2011, Student mathematical library : IAS/Park City mathematical subseries, ISBN 0821852426, Volume 58, xiv, 195
Book
Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2019, Volume 371, Issue 2, pp. 1119 - 1149
We give an explicit description of fundamental domains associated with the p-adic uniformisation of families of Shimura curves of discriminant Dp and level N... 
Shimura curves | Mumford curves | p-adic fundamental domains | MATHEMATICS | UNIFORMIZATION | CONSTRUCTION | POINTS
Journal Article
2010, Fields Institute communications, ISBN 0821843117, Volume 58, iv, 133
Book
Journal of Pure and Applied Algebra, ISSN 0022-4049, 01/2020, Volume 224, Issue 1, pp. 272 - 299
We determine which of the modular curves XΔ(N), that is, curves lying between X0... 
Bielliptic | Modular curve | Hyperelliptic | Infinitely many quadratic points | COMPACT RIEMANN SURFACES | MATHEMATICS | AUTOMORPHISM-GROUPS | ELLIPTIC-CURVES | MATHEMATICS, APPLIED | TORSION POINTS | GENUS
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 09/2017, Volume 115, Issue 3, pp. 638 - 692
To classify planar complex rational cuspidal curves E⊆P2 it remains to classify the ones with complement of log general type, that is, the ones for which κ(KX+D)=2, where (X,D... 
14H50 (primary) | 14J17 | 14R25 (secondary) | MATHEMATICS | Q-HOMOLOGY PLANES | Mathematics - Algebraic Geometry
Journal Article
2017, Lecture Notes of the Unione Matematica Italiana, ISBN 9783319594859, Volume 21, 248
Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people... 
Moduli theory | Algebraic Geometry | Mathematics | Projective Geometry | Category Theory, Homological Algebra
eBook
Advances in Mathematics, ISSN 0001-8708, 06/2019, Volume 349, pp. 162 - 211
Let X be a (projective, geometrically irreducible, non-singular) algebraic curve of genus g... 
Automorphism groups | Algebraic curves | Positive characteristic | FINITE SIMPLE-GROUPS | MATHEMATICS | NUMBER | SUBGROUPS
Journal Article
2011, MAA guides, ISBN 9780883853535, Volume no. forty-six, xv, 193
Book
2016, Monographs and research notes in mathematics, ISBN 9781482251593, xxi, 504
.... The authors explicitly describe many interesting A5-invariant subvarieties of V5, including A5-orbits, low-degree curves, invariant anticanonical K3 surfaces, and a mildly singular surface of general... 
Icosahedra | Automorphic forms | Geometry, Algebraic | Mathematics | Cremona transformations | Geometry | Algebra | Number Theory
Book
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 07/2015, Volume 84, Issue 294, pp. 1953 - 1975
.... We use level n symmetric theta structure where n = 2 or n = 4. In the second part of this paper we explain how to convert between Mumford coordinates of Jacobians of genus 2 hyperelliptic curves to theta coordinates of level 2 or 4... 
MATHEMATICS, APPLIED | ISOGENY VOLCANOS | ABELIAN-VARIETIES | IDENTITY-BASED ENCRYPTION | Symbolic Computation | Computer Science
Journal Article
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