Picard groups for tropical toric schemes
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Publication:2326786
DOI10.1007/s00229-018-1062-8zbMath1471.14129arXiv1709.03130OpenAlexW2884925190WikidataQ129353364 ScholiaQ129353364MaRDI QIDQ2326786
Jaiung Jun, Jeffrey Tolliver, Kalina Mincheva
Publication date: 10 October 2019
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.03130
Geometric aspects of tropical varieties (14T20) Semifields (12K10) Semirings (16Y60) Picard groups (14C22) Ordered semigroups and monoids (06F05)
Related Items (2)
Vector bundles on tropical schemes ⋮ Proto-exact categories of modules over semirings and hyperrings
Cites Work
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- Riemann-Roch theory for weighted graphs and tropical curves
- Picard groups and class groups of monoid schemes
- The arithmetic site
- Toric varieties, monoid schemes and cdh descent
- Equations of tropical varieties
- The geometry of blueprints. I: Algebraic background and scheme theory
- Sheaves and \(K\)-theory for \(\mathbb F_1\)-schemes
- Faisceaux algébriques cohérents
- \(\mathbb F_1\)-schemes and toric varieties
- Prime congruences of additively idempotent semirings and a Nullstellensatz for tropical polynomials
- Tropical schemes, tropical cycles, and valuated matroids
- Čech cohomology over \(\mathbb{F}_{1^2}\)
- Geometry of the scaling site
- Riemann-Roch and Abel-Jacobi theory on a finite graph
- Čech cohomology of semiring schemes
- A Riemann-Roch theorem in tropical geometry
- Logarithmic Picard groups, chip firing, and the combinatorial rank
- Mapping F_1-land:An overview of geometries over the field with one element
- The Skeleton of the Jacobian, the Jacobian of the Skeleton, and Lifting Meromorphic Functions From Tropical to Algebraic Curves: Fig. 1.
- From monoids to hyperstructures: in search of an absolute arithmetic
- On the notion of geometry over 𝔽₁
- Schemes over 𝔽1and zeta functions
- Introduction to Toric Varieties. (AM-131)
- Homological algebra in characteristic one
- Schemes over $$ \mathbb{F}_1 $$
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