10 citations · 23 across the 15 of their papers we have counts for
17 papers
Formal Abel relations for curves in characteristic
John B. Little
In this working paper, we report recent work studying the form of Abel relations in the (generalized) Jacobians of reduced plane curves over an algebraically closed field of charac…
The Eclectic Content and Sources of Christopher Clavius's Geometria Practica
John B. Little
We consider the Geometria Practica of Christopher Clavius, S.J., a suprisingly eclectic and comprehensive textbook of practical geometry, whose first edition appeared in 1604. Our…
On Algebraic Theta Divisors and Rational Solutions of the KP Equation
Daniele Agostini, Türkü Özlüm Çelik, John B. Little
In this paper we classify the singular curves whose theta divisors in their generalized Jacobians are algebraic, meaning that they are cut out by polynomial analogs of theta functi…
Codes from surfaces with small Picard number
John Little, Hal Schenck
Extending work of M. Zarzar, we evaluate the potential of Goppa-type evaluation codes constructed from linear systems on projective algebraic surfaces with small Picard number. Put…
Toric Codes and Finite Geometries
John B. Little
We show how the theory of affine geometries over the ring can be used to understand the properties of toric and generalized toric codes over ${\m…
Remarks on generalized toric codes
John B. Little
This note presents some new information on how the minimum distance of the generalized toric code corresponding to a fixed set of integer lattice points S in R^2 varies with the ba…