This book presents the proceedings of two conferences, Résolution des singularités et géométrie non commutative and the Annapolis Algebraic Geometry Conference. Research articles in the volume cover various topics of algebraic geometry, including the theory of Jacobians, singularities, applications to cryptography, and more. The book is suitable for graduate students and research mathematicians interested in algebraic geometry.

Readership

Graduate students and research mathematicians interested in algebraic geometry.

Table of Contents

• A. Iarrobino, Jr. -- Dr. Ruth I. Michler's research
• S. S. Abhyankar and A. Assi -- Jacobian pairs
• P. Aluffi -- Inclusion-exclusion and Segre classes, II
• G. Bérczi, L. M. Fehér, and R. Rimányi -- Expressions for resultants coming from the global theory of singularities
• D. Boneh and A. Silverberg -- Applications of multilinear forms to cryptography
• A. Campillo and J. Castellanos -- On Puiseux exponents for higher dimensional singularities
• V. Cossart -- Desingularization: A few bad examples in dim. 3, characteristic \(p>0\)
• P. D. González Pérez, L. J. McEwan, and A. Némethi -- The zeta-function of a quasi-ordinary singularity II
• E. Hironaka -- Lehmer's problem, McKay's correspondence, and 2,3,7
• V. P. Kostov and O. Gabber -- On the weak Deligne-Simpson problem for index of rigidity 2
• A. E. Ksir and S. G. Naculich -- Elliptic fibrations and elliptic models
• K. E. Lauter -- The equivalence of the geometric and algebraic group laws for Jacobians of genus 2 curves
• D. B. Massey -- Invariant subspaces of the monodromy
• L. J. McEwan and A. Némethi -- Some conjectures about quasi-ordinary singularities
• A. Simis -- Two differential themes in characteristic zero
• M. A. Vitulli -- Some normal monomial ideals
• J. F. Voloch -- Surfaces in \(\mathbf{P}^3\) over finite fields
• A. Yekutieli -- The continuous Hochschild cochain complex of a scheme (Survey)