Results 11 to 20 of about 593 (48)
Lefschetz (1,1)-theorem in tropical geometry [PDF]
Épijournal de Géométrie Algébrique, 2018 For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in the kernel of the eigenwave map.
Philipp Jell, Johannes Rau, Kristin Shaw
doaj +1 more source
Tropical Lagrangian hypersurfaces are unobstructed
Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020 Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley +1 more source
New quasars behind the Magellanic Clouds. Spectroscopic confirmation of near-infrared selected candidates [PDF]
, 2015 Context. Quasi-stellar objects (quasars) located behind nearby galaxies provide an excellent absolute reference system for astrometric studies, but they are difficult to identify because of fore- and background contamination.
Bekki, Kenji +12 more
core +3 more sources
Bulletin of the London Mathematical Society, Volume 52, Issue 1, Page 16-23, February 2020., 2020 Abstract Answering a question by Nisse and Sottile, we derive a formula for the dimension of the amoeba of an irreducible algebraic variety.
Jan Draisma, Johannes Rau, Chi Ho Yuen
wiley +1 more source
Global Distribution of Fe K alpha Lines in the Galactic Center Region Observed with the Suzaku Satellite [PDF]
, 2011 We have surveyed spatial profiles of the Fe K$\alpha$ lines in the Galactic center diffuse X-rays (GCDX), including the transient region from the GCDX to the Galactic ridge X-ray emission (GRXE), with the Suzaku satellite.
Koyama, Katsuji +4 more
core +1 more source
Basic Operations on Supertropical Quadratic Forms
Documenta Mathematica, 2017 In the case that a module V over a (commutative) supertropical semiring R is free, the R-module Quad(V ) of all quadratic forms on V is almost never a free module.
Z. Izhakian, Manfred Knebusch
semanticscholar +1 more source
CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM
Forum of Mathematics, Sigma, 2014 Let $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit ...
YANG AN +3 more
doaj +1 more source
Open Mathematics, 2016 For all integers g ≥ 6 we prove the existence of a metric graph G with w41=1$w_4^1 = 1$ such that G has Clifford index 2 and there is no tropical modification G′ of G such that there exists a finite harmonic morphism of degree 2 from G′ to a metric ...
Coppens Marc
doaj +1 more source
HYPERELLIPTIC GRAPHS AND METRIZED COMPLEXES
Forum of Mathematics, Sigma, 2017 We prove a version of Clifford’s theorem for metrized complexes. Namely, a metrized complex that carries a divisor of degree $2r$ and rank
YOAV LEN
doaj +1 more source
Tropicalization and tropical equilibration of chemical reactions [PDF]
, 2012 Systems biology uses large networks of biochemical reactions to model the functioning of biological cells from the molecular to the cellular scale. The dynamics of dissipative reaction networks with many well separated time scales can be described as a ...
Grigoriev, Dima +3 more
core +5 more sources