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THE ESSENTIAL DIMENSION OF A g-DIMENSIONAL COMPLEX ABELIAN VARIETY IS 2g
ESSENTIAL DIMENSION COMPLEX ABELIAN VARIETY IS 2g
2015/9/29
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
Discussion of ‘Maximum likelihood estimation of a multi-dimensional log-concave density’ by M. Cule, R. Samworth and M. Stewart
likelihood estimation multi-dimensional log-concave density
2015/8/20
I started looking at log-concave distributions when I was searching for an appropriate model
for subpopulations of multivariate flow cytometry data about ten years ago. The use of log-concave
...
Constructing higher dimensional local fields
Constructing higher dimensional local fields Algebraic Geometry
2012/4/18
This note is a gentle introduction to higher dimensional local fields, with the motivating problem being the standard geometric "localisation-completion" process by which they can be constructed. A di...
One dimensional Convolutional Goppa Codes over the projective line
One dimensional Convolutional Goppa Codes the projective line Information Theory
2011/9/1
Abstract: We give a general method to construct MDS one-dimensional convolutional codes. Our method generalizes previous constructions of H. Gluesing-Luerssen and B. Langfeld. Moreover we give a class...
Inverse Systems of Zero-dimensional Schemes in P^n
Inverse Systems Zero-dimensional Schemes P^n
2011/8/22
Abstract: The authors construct the global Macaulay inverse system for a zero-dimensional subscheme Z of projective n-space P^n, from the local inverse systems of the irreducible components of Z. This...