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- Minhyong Kim
- 2005

One of the strong motivations for studying the arithmetic fundamental groups of algebraic varieties comes from the hope that they will provide group-theoretic access to Diophantine geometry. This isâ€¦ (More)

- Yi Fang, Mengtian Sun, Minhyong Kim, Karthik Ramani
- CVPR 2011
- 2011

3D mesh segmentation is a fundamental low-level task with applications in areas as diverse as computer vision, computer-aided design, bio-informatics, and 3D medical imaging. A perceptuallyâ€¦ (More)

- Minhyong Kim, Akio Tamagawa
- 2008

We examine the local l 6= p-component of the Qp unipotent Albanese map for curves. As a consequence, we refine the non-abelian Selmer varieties arising in the study of global points and deduceâ€¦ (More)

- Minhyong Kim, Richard M. Hain
- 2002

We give a definition of the crystalline fundamental group of suitable log schemes in positive characteristic using the techniques of rational homotopy theory applied to the De Rham-Witt complex.

- Minhyong Kim
- Arch. Math. Log.
- 2003

be a polynomial equation over the rational numbers of degree d and assume that the complex solutions carve out an irreducible algebraic curve of geometric genus at least two. This condition will beâ€¦ (More)

- Minhyong Kim
- 1998

Let B be a smooth projective curve of genus Î³ over the complex numbers and let f : Aâ†’B be a non-isotrivial semi-abelian scheme over B with projective generic fiber of relative dimension g. Let U âŠ‚ Bâ€¦ (More)

In contrast to the geometric theory, where the different kinds of number pairs (x, y) that can occur as solutions are viewed as homogeneous, the arithmetic b g gggj b b bbstudy classifies moreâ€¦ (More)

- Minhyong Kim
- 2006

Pythagorasâ€™ dictum that â€˜all is numberâ€™ is well-known. But my impression is that even practicing mathematicians are often not entirely aware of the thoroughness with which we have developed this veryâ€¦ (More)

- Minhyong Kim, Richard M. Hain
- 2005

The Hyodo-Kato theorem relates the De Rham cohomology of a variety over a local field with semi-stable reduction to the log crystalline cohomology of the special fiber. In this paper we prove anâ€¦ (More)

- Minhyong Kim, DamiÃ¡n Keller, C. Bustamante
- Biophysical journal
- 1987

A theory of differential polarization imaging is derived using Mueller calculus. It is shown that, for any arbitrary object, 16 images (in general different) can be obtained by combining differentâ€¦ (More)