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Algebraic Geometry and Algebraic Number Theory cover

This volume contains 18 research papers on algebraic geometry, algebraic number theory and algebraic groups. Two summarized surveys on Arthur's invariant trace formula and the representation theory of quantum linear groups by K F Lai and Jian-Pan Wang respectively are included.


Contents:
  • On the Slope of Non-Hyperelliptic Fibrations of Genus 4 (Z-J Chen)
  • An Introduction to Arthur's Invariant Trace Formula (K F Lai)
  • Hecke Operators, Hirzebruch Sums and Pellian Equation Conjecture (H-W Lu)
  • Ramification Divisor o fRegular Schemes (Z-H Luo)
  • A Note on Representations of Integers by Ternary Quadratic Forms (D-Y Pei)
  • A Summarized Account for the Representation Theory of Quantum Linear Groups (J-P Wang)
  • Representations of Finite Dimensional Hopf Algebras Arising from Quantum Groups, II (N-H Xi)
  • Irregular Families of Hyperelliptic Curves (Gang Xiao)
  • A Projective Embedding of Surfaces of General Type (J-G Yang)
  • Carton Invariants and Extensions for Finite Groups of Lie Type (J-C Ye)
  • Determination of Solutions and Solvabilities of Diophantine Equations and Quadratic Fields (X-K Zhang)
  • and other papers

Readership: Mathematicians.