Concepedia

Newton Polytopes

Newton Polytopes is a convex lattice polytope in Euclidean space that encodes the exponent vectors of the monomials appearing in a Laurent polynomial, thereby serving as a combinatorial representation of its algebraic and geometric properties in toric geometry.

174

Publications

8.8K

Citations

207

Authors

141

Institutions

Publications per year

2017–2026

25

Parents

Publications

174

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Victor V. Batyrev · ArXiv.org · 1993 · 993 citations · Full text

, , +12

Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory

Kiumars Kaveh, Askold Khovanskiĭ · Annals of Mathematics · 2012 · 347 citations · Full text

, , +10

Newton polyhedra and the genus of complete intersections

Askold Khovanskiĭ · Functional Analysis and Its Applications · 1978 · 328 citations

, , +10

A Polyhedral Method for Solving Sparse Polynomial Systems

Birkett Huber, Bernd Sturmfels · Mathematics of Computation · 1995 · 293 citations

, , +14

On the Newton Polytope of the Resultant

Bernd Sturmfels · Journal of Algebraic Combinatorics · 1994 · 241 citations · Full text

, , +8

1–5 of 174

Authors

207

  1. AK
    Askold Khovanskiĭ

    University of Toronto, Canada

    11 publications · 1.2K citations

    11

    h-index

  2. BS
    Bernd Sturmfels

    University of California, Berkeley, United States

    8 publications · 1.2K citations

    8

    h-index

  3. IZ
    Ioannis Z. Emiris

    National and Kapodistrian University of Athens, Greece

    8 publications · 206 citations

    8

    h-index

  4. AE
    Alexander Esterov

    University of Tsukuba, Japan

    6 publications · 152 citations

    6

    h-index

  5. SS
    Steven Sperber

    University of Minnesota, United States

    4 publications · 316 citations

    4

    h-index

1–5 of 207

Institutions

141

  1. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    6 h-index

    12 publications

    257 citations

  2. National and Kapodistrian University of Athens

    Athens, Greece

    6 h-index

    12 publications

    165 citations

  3. KU Leuven

    Leuven, Belgium

    6 h-index

    9 publications

    412 citations

  4. University of California, Berkeley

    Berkeley, United States

    5 h-index

    12 publications

    954 citations

  5. University of Toronto

    Toronto, Canada

    5 h-index

    6 publications

    505 citations

  6. Princeton University

    Princeton, United States

    4 h-index

    4 publications

    307 citations

  7. Columbia University

    New York, United States

    4 h-index

    7 publications

    552 citations

  8. Lomonosov Moscow State University

    Moscow, Russia

    4 h-index

    4 publications

    110 citations

1–8 of 141

Venues

  1. arXiv (Cornell University)

    Repository · 10 publications · 222 citations

    10

    h-index

  2. Functional Analysis and Its Applications

    9 publications · 1.1K citations

    9

    h-index

  3. ArXiv.org

    Repository · 8 publications · 1.2K citations

    8

    h-index

  4. Journal of Number Theory

    5 publications · 159 citations

    5

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 5 publications · 149 citations

    5

    h-index

1–5